972355680 has 72 divisors (see below), whose sum is σ = 3318168672. Its totient is φ = 259294464.

The previous prime is 972355679. The next prime is 972355687. The reversal of 972355680 is 86553279.

It is a happy number.

972355680 is a `hidden beast` number, since 97 + 2 + 3 + 556 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972355687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336184 + ... + 339063.

It is an arithmetic number, because the mean of its divisors is an integer number (46085676).

Almost surely, 2^972355680 is an apocalyptic number.

972355680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

972355680 is an abundant number, since it is smaller than the sum of its proper divisors (2345812992).

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

972355680 is a wasteful number, since it uses less digits than its factorization.

972355680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675268 (or 675257 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 972355680 is about 31182.6182351643. The cubic root of 972355680 is about 990.6989860122.

The spelling of 972355680 in words is "nine hundred seventy-two million, three hundred fifty-five thousand, six hundred eighty".