97180560 has 120 divisors (see below), whose sum is σ = 338520000. Its totient is φ = 25909632.

The previous prime is 97180549. The next prime is 97180579. The reversal of 97180560 is 6508179.

97180560 is a `hidden beast` number, since 97 + 1 + 8 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×97180560³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16941 + ... + 21939.

It is an arithmetic number, because the mean of its divisors is an integer number (2821000).

Almost surely, 2^97180560 is an apocalyptic number.

97180560 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 97180560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169260000).

97180560 is an abundant number, since it is smaller than the sum of its proper divisors (241339440).

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

97180560 is a wasteful number, since it uses less digits than its factorization.

97180560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 97180560 is about 9858.0200851895. The cubic root of 97180560 is about 459.7550050151.

The spelling of 97180560 in words is "ninety-seven million, one hundred eighty thousand, five hundred sixty".