96608400 has 360 divisors, whose sum is σ = 378618624. Its totient is φ = 20966400.

The previous prime is 96608387. The next prime is 96608437. The reversal of 96608400 is 480669.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1822774 + ... + 1822826.

Almost surely, 2^96608400 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 96608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189309312).

96608400 is an abundant number, since it is smaller than the sum of its proper divisors (282010224).

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

96608400 is a wasteful number, since it uses less digits than its factorization.

96608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

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

The square root of 96608400 is about 9828.9572183421. The cubic root of 96608400 is about 458.8509443340.

The spelling of 96608400 in words is "ninety-six million, six hundred eight thousand, four hundred".