97587360 has 216 divisors, whose sum is σ = 361503324. Its totient is φ = 23961600.

The previous prime is 97587359. The next prime is 97587383. The reversal of 97587360 is 6378579.

It is a happy number.

97587360 is a `hidden beast` number, since 9 + 7 + 587 + 3 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 37307664 + 60279696 = 6108^2 + 7764^2 .

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 35 ways as a sum of consecutive naturals, for example, 243160 + ... + 243560.

Almost surely, 2^97587360 is an apocalyptic number.

97587360 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 97587360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180751662).

97587360 is an abundant number, since it is smaller than the sum of its proper divisors (263915964).

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

97587360 is a wasteful number, since it uses less digits than its factorization.

97587360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 97587360 is about 9878.6314841682. The cubic root of 97587360 is about 460.3956268740.

The spelling of 97587360 in words is "ninety-seven million, five hundred eighty-seven thousand, three hundred sixty".