97565760 has 168 divisors, whose sum is σ = 353446080. Its totient is φ = 24634368.

The previous prime is 97565731. The next prime is 97565807. The reversal of 97565760 is 6756579.

It is a happy number.

97565760 is a `hidden beast` number, since 9 + 75 + 6 + 576 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53829 + ... + 55611.

Almost surely, 2^97565760 is an apocalyptic number.

97565760 is a gapful number since it is divisible by the number (90) 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 97565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176723040).

97565760 is an abundant number, since it is smaller than the sum of its proper divisors (255880320).

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

97565760 is a wasteful number, since it uses less digits than its factorization.

97565760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 97565760 is about 9877.5381548238. The cubic root of 97565760 is about 460.3616563566.

The spelling of 97565760 in words is "ninety-seven million, five hundred sixty-five thousand, seven hundred sixty".