1005921648 has 120 divisors (see below), whose sum is σ = 2860977600. Its totient is φ = 329909760.

The previous prime is 1005921643. The next prime is 1005921649. The reversal of 1005921648 is 8461295001.

1005921648 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 9 + 2 + 1 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005921641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3711753 + ... + 3712023.

It is an arithmetic number, because the mean of its divisors is an integer number (23841480).

Almost surely, 2^1005921648 is an apocalyptic number.

1005921648 is a gapful number since it is divisible by the number (18) 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 1005921648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430488800).

1005921648 is an abundant number, since it is smaller than the sum of its proper divisors (1855055952).

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

1005921648 is a wasteful number, since it uses less digits than its factorization.

1005921648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1005921648 is about 31716.2678762808. The cubic root of 1005921648 is about 1001.9699992213.

The spelling of 1005921648 in words is "one billion, five million, nine hundred twenty-one thousand, six hundred forty-eight".