96978000 has 160 divisors (see below), whose sum is σ = 357477120. Its totient is φ = 22156800.

The previous prime is 96977971. The next prime is 96978031. The reversal of 96978000 is 87969.

It is a self number, because there is not a number n which added to its sum of digits gives 96978000.

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, 40846 + ... + 43154.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^96978000 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 96978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

96978000 is an abundant number, since it is smaller than the sum of its proper divisors (260499120).

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

96978000 is a wasteful number, since it uses less digits than its factorization.

96978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 96978000 is about 9847.7408576790. The cubic root of 96978000 is about 459.4353500239.

The spelling of 96978000 in words is "ninety-six million, nine hundred seventy-eight thousand".