96882000 has 160 divisors (see below), whose sum is σ = 318324864. Its totient is φ = 25344000.

The previous prime is 96881989. The next prime is 96882013. The reversal of 96882000 is 28869.

It is a super-2 number, since 2×96882000² = 18772243848000000, which contains 22 as substring.

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, 401880 + ... + 402120.

Almost surely, 2^96882000 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 96882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159162432).

96882000 is an abundant number, since it is smaller than the sum of its proper divisors (221442864).

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

96882000 is a wasteful number, since it uses less digits than its factorization.

96882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 96882000 is about 9842.8654364468. The cubic root of 96882000 is about 459.2836992878.

The spelling of 96882000 in words is "ninety-six million, eight hundred eighty-two thousand".