1024664256 has 560 divisors, whose sum is σ = 4036234752. Its totient is φ = 248832000.

The previous prime is 1024664233. The next prime is 1024664323. The reversal of 1024664256 is 6524664201.

1024664256 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 6 + 642 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1024664256.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6785781 + ... + 6785931.

Almost surely, 2^1024664256 is an apocalyptic number.

1024664256 is a gapful number since it is divisible by the number (16) 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 1024664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018117376).

1024664256 is an abundant number, since it is smaller than the sum of its proper divisors (3011570496).

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

1024664256 is a wasteful number, since it uses less digits than its factorization.

1024664256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1024664256 is about 32010.3773173638. The cubic root of 1024664256 is about 1008.1547381497.

Subtracting 1024664256 from its reverse (6524664201), we obtain a palindrome (5499999945).

The spelling of 1024664256 in words is "one billion, twenty-four million, six hundred sixty-four thousand, two hundred fifty-six".