96864000 has 144 divisors (see below), whose sum is σ = 322052640. Its totient is φ = 25804800.

The previous prime is 96863999. The next prime is 96864037. The reversal of 96864000 is 46869.

It is a congruent number.

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, 95496 + ... + 96504.

Almost surely, 2^96864000 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 96864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161026320).

96864000 is an abundant number, since it is smaller than the sum of its proper divisors (225188640).

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

96864000 is a wasteful number, since it uses less digits than its factorization.

96864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 96864000 is about 9841.9510260923. The cubic root of 96864000 is about 459.2552536232.

The spelling of 96864000 in words is "ninety-six million, eight hundred sixty-four thousand".