1005425640 has 96 divisors (see below), whose sum is σ = 3272766120. Its totient is φ = 267692544.

The previous prime is 1005425633. The next prime is 1005425669. The reversal of 1005425640 is 465245001.

1005425640 is a `hidden beast` number, since 10 + 0 + 5 + 4 + 2 + 5 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 198979236 + 806446404 = 14106^2 + 28398^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276474 + ... + 280086.

Almost surely, 2^1005425640 is an apocalyptic number.

1005425640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005425640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636383060).

1005425640 is an abundant number, since it is smaller than the sum of its proper divisors (2267340480).

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

1005425640 is a wasteful number, since it uses less digits than its factorization.

1005425640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1005425640 is about 31708.4474548976. The cubic root of 1005425640 is about 1001.8052856492.

The spelling of 1005425640 in words is "one billion, five million, four hundred twenty-five thousand, six hundred forty".