1005904656 has 75 divisors (see below), whose sum is σ = 2914688293. Its totient is φ = 334920960.

The previous prime is 1005904651. The next prime is 1005904657. The reversal of 1005904656 is 6564095001.

The square root of 1005904656 is 31716.

It is a perfect power (a square), and thus also a powerful number.

1005904656 is a `hidden beast` number, since 1 + 0 + 0 + 590 + 4 + 65 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 176464656 + 829440000 = 13284^2 + 28800^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005904656.

It is not an unprimeable number, because it can be changed into a prime (1005904651) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1141336 + ... + 1142216.

Almost surely, 2^1005904656 is an apocalyptic number.

1005904656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1005904656 is the 31716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005904656

1005904656 is an abundant number, since it is smaller than the sum of its proper divisors (1908783637).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005904656 is an frugal number, since it uses more digits than its factorization.

1005904656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The cubic root of 1005904656 is about 1001.9643574399.

Multiplying 1005904656 by its sum of digits (36), we get a square (36212567616 = 190296²).

1005904656 divided by its sum of digits (36) gives a square (27941796 = 5286²).

Multiplying 1005904656 by its product of nonzero digits (32400), we get a square (32591310854400 = 5708880²).

Adding to 1005904656 its reverse (6564095001), we get a palindrome (7569999657).

The spelling of 1005904656 in words is "one billion, five million, nine hundred four thousand, six hundred fifty-six".