97088580 has 72 divisors (see below), whose sum is σ = 300088152. Its totient is φ = 25399296.

The previous prime is 97088567. The next prime is 97088597. The reversal of 97088580 is 8588079.

It can be written as a sum of positive squares in 4 ways, for example, as 23677956 + 73410624 = 4866^2 + 8568^2 .

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 23 ways as a sum of consecutive naturals, for example, 4452 + ... + 14628.

It is an arithmetic number, because the mean of its divisors is an integer number (4167891).

Almost surely, 2^97088580 is an apocalyptic number.

97088580 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 97088580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150044076).

97088580 is an abundant number, since it is smaller than the sum of its proper divisors (202999572).

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

97088580 is a wasteful number, since it uses less digits than its factorization.

97088580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10245 (or 10240 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 97088580 is about 9853.3537437768. The cubic root of 97088580 is about 459.6099087321.

The spelling of 97088580 in words is "ninety-seven million, eighty-eight thousand, five hundred eighty".