96392400 has 240 divisors, whose sum is σ = 343561344. Its totient is φ = 22947840.

The previous prime is 96392389. The next prime is 96392449. The reversal of 96392400 is 429369.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 577117 + ... + 577283.

Almost surely, 2^96392400 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 96392400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171780672).

96392400 is an abundant number, since it is smaller than the sum of its proper divisors (247168944).

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

96392400 is a wasteful number, since it uses less digits than its factorization.

96392400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 96392400 is about 9817.9631288776. The cubic root of 96392400 is about 458.5087181867.

The spelling of 96392400 in words is "ninety-six million, three hundred ninety-two thousand, four hundred".