97520160 has 288 divisors, whose sum is σ = 352779840. Its totient is φ = 22560768.

The previous prime is 97520153. The next prime is 97520167. The reversal of 97520160 is 6102579.

It is an interprime number because it is at equal distance from previous prime (97520153) and next prime (97520167).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97520167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2635662 + ... + 2635698.

It is an arithmetic number, because the mean of its divisors is an integer number (1224930).

Almost surely, 2^97520160 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 97520160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176389920).

97520160 is an abundant number, since it is smaller than the sum of its proper divisors (255259680).

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

97520160 is a wasteful number, since it uses less digits than its factorization.

97520160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 97520160 is about 9875.2296175836. The cubic root of 97520160 is about 460.2899243512.

The spelling of 97520160 in words is "ninety-seven million, five hundred twenty thousand, one hundred sixty".