96856800 has 72 divisors (see below), whose sum is σ = 315276696. Its totient is φ = 25827840.

The previous prime is 96856789. The next prime is 96856817. The reversal of 96856800 is 865869.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17779 + ... + 22578.

It is an arithmetic number, because the mean of its divisors is an integer number (4378843).

Almost surely, 2^96856800 is an apocalyptic number.

It is an amenable number.

96856800 is an abundant number, since it is smaller than the sum of its proper divisors (218419896).

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

96856800 is a wasteful number, since it uses less digits than its factorization.

96856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40380 (or 40367 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 96856800 is about 9841.5852381616. The cubic root of 96856800 is about 459.2438743706.

The spelling of 96856800 in words is "ninety-six million, eight hundred fifty-six thousand, eight hundred".