97258560 has 224 divisors, whose sum is σ = 362541312. Its totient is φ = 21626880.

The previous prime is 97258541. The next prime is 97258573. The reversal of 97258560 is 6585279.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275344 + ... + 275696.

It is an arithmetic number, because the mean of its divisors is an integer number (1618488).

Almost surely, 2^97258560 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 97258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181270656).

97258560 is an abundant number, since it is smaller than the sum of its proper divisors (265282752).

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

97258560 is a wasteful number, since it uses less digits than its factorization.

97258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

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

The square root of 97258560 is about 9861.9754613363. The cubic root of 97258560 is about 459.8779764555.

The spelling of 97258560 in words is "ninety-seven million, two hundred fifty-eight thousand, five hundred sixty".