973664256 has 208 divisors, whose sum is σ = 2830809600. Its totient is φ = 296484864.

The previous prime is 973664233. The next prime is 973664297. The reversal of 973664256 is 652466379.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1632960) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12324825 + ... + 12324903.

Almost surely, 2^973664256 is an apocalyptic number.

973664256 is a gapful number since it is divisible by the number (96) 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 973664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415404800).

973664256 is an abundant number, since it is smaller than the sum of its proper divisors (1857145344).

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

973664256 is a wasteful number, since it uses less digits than its factorization.

973664256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The square root of 973664256 is about 31203.5936391948. The cubic root of 973664256 is about 991.1432074767.

The spelling of 973664256 in words is "nine hundred seventy-three million, six hundred sixty-four thousand, two hundred fifty-six".