972917568 has 252 divisors, whose sum is σ = 3319487392. Its totient is φ = 277136640.

The previous prime is 972917563. The next prime is 972917579. The reversal of 972917568 is 865719279.

972917568 is a `hidden beast` number, since 9 + 72 + 9 + 1 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972917563) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2939163 + ... + 2939493.

Almost surely, 2^972917568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972917568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659743696).

972917568 is an abundant number, since it is smaller than the sum of its proper divisors (2346569824).

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

972917568 is an frugal number, since it uses more digits than its factorization.

972917568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 343 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The square root of 972917568 is about 31191.6265686803. The cubic root of 972917568 is about 990.8897785699.

The spelling of 972917568 in words is "nine hundred seventy-two million, nine hundred seventeen thousand, five hundred sixty-eight".