97628160 has 208 divisors, whose sum is σ = 358569216. Its totient is φ = 22216704.

The previous prime is 97628147. The next prime is 97628171. The reversal of 97628160 is 6182679.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429967 + ... + 430193.

Almost surely, 2^97628160 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 97628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179284608).

97628160 is an abundant number, since it is smaller than the sum of its proper divisors (260941056).

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

97628160 is a wasteful number, since it uses less digits than its factorization.

97628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 97628160 is about 9880.6963317369. The cubic root of 97628160 is about 460.4597797328.

The spelling of 97628160 in words is "ninety-seven million, six hundred twenty-eight thousand, one hundred sixty".