97856000 has 160 divisors (see below), whose sum is σ = 268107840. Its totient is φ = 35328000.

The previous prime is 97855999. The next prime is 97856027. The reversal of 97856000 is 65879.

It is a tau number, because it is divible by the number of its divisors (160).

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, 703931 + ... + 704069.

It is an arithmetic number, because the mean of its divisors is an integer number (1675674).

Almost surely, 2^97856000 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 97856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

97856000 is an abundant number, since it is smaller than the sum of its proper divisors (170251840).

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

97856000 is a wasteful number, since it uses less digits than its factorization.

97856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 97856000 is about 9892.2191645758. The cubic root of 97856000 is about 460.8177012233.

The spelling of 97856000 in words is "ninety-seven million, eight hundred fifty-six thousand".