97657560 has 384 divisors, whose sum is σ = 427714560. Its totient is φ = 18662400.

The previous prime is 97657519. The next prime is 97657577. The reversal of 97657560 is 6575679.

It is a happy number.

97657560 is a `hidden beast` number, since 9 + 76 + 575 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360225 + ... + 360495.

It is an arithmetic number, because the mean of its divisors is an integer number (1113840).

Almost surely, 2^97657560 is an apocalyptic number.

97657560 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 97657560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857280).

97657560 is an abundant number, since it is smaller than the sum of its proper divisors (330057000).

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

97657560 is a wasteful number, since it uses less digits than its factorization.

97657560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 312 counting only the distinct ones).

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

The square root of 97657560 is about 9882.1839691437. The cubic root of 97657560 is about 460.5059964488.

The spelling of 97657560 in words is "ninety-seven million, six hundred fifty-seven thousand, five hundred sixty".