973616256 has 192 divisors, whose sum is σ = 2927808000. Its totient is φ = 310210560.

The previous prime is 973616251. The next prime is 973616279. The reversal of 973616256 is 652616379.

973616256 is a `hidden beast` number, since 9 + 7 + 3 + 616 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×973616256² = 1895857227894915072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (973616251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4892445 + ... + 4892643.

It is an arithmetic number, because the mean of its divisors is an integer number (15249000).

Almost surely, 2^973616256 is an apocalyptic number.

973616256 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 973616256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463904000).

973616256 is an abundant number, since it is smaller than the sum of its proper divisors (1954191744).

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

973616256 is a wasteful number, since it uses less digits than its factorization.

973616256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 973616256 is about 31202.8244875364. The cubic root of 973616256 is about 991.1269199814.

The spelling of 973616256 in words is "nine hundred seventy-three million, six hundred sixteen thousand, two hundred fifty-six".