97853360 has 160 divisors (see below), whose sum is σ = 272553984. Its totient is φ = 32256000.

The previous prime is 97853321. The next prime is 97853383. The reversal of 97853360 is 6335879.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463655 + ... + 463865.

Almost surely, 2^97853360 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 97853360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136276992).

97853360 is an abundant number, since it is smaller than the sum of its proper divisors (174700624).

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

97853360 is a wasteful number, since it uses less digits than its factorization.

97853360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 97853360 is about 9892.0857254676. The cubic root of 97853360 is about 460.8135571420.

The spelling of 97853360 in words is "ninety-seven million, eight hundred fifty-three thousand, three hundred sixty".