97255680 has 288 divisors, whose sum is σ = 345354240. Its totient is φ = 23224320.

The previous prime is 97255663. The next prime is 97255687. The reversal of 97255680 is 8655279.

It is not an unprimeable number, because it can be changed into a prime (97255687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2261739 + ... + 2261781.

Almost surely, 2^97255680 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 97255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172677120).

97255680 is an abundant number, since it is smaller than the sum of its proper divisors (248098560).

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

97255680 is a wasteful number, since it uses less digits than its factorization.

97255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 97255680 is about 9861.8294448850. The cubic root of 97255680 is about 459.8734371408.

The spelling of 97255680 in words is "ninety-seven million, two hundred fifty-five thousand, six hundred eighty".