96459600 has 120 divisors (see below), whose sum is σ = 319082752. Its totient is φ = 24883200.

The previous prime is 96459541. The next prime is 96459611. The reversal of 96459600 is 695469.

96459600 = T₃₅₉ + T₃₆₀ + ... + T₈₅₄.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35904 + ... + 38496.

Almost surely, 2^96459600 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 96459600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159541376).

96459600 is an abundant number, since it is smaller than the sum of its proper divisors (222623152).

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

96459600 is a wasteful number, since it uses less digits than its factorization.

96459600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 96459600 is about 9821.3848310714. The cubic root of 96459600 is about 458.6152432809.

The spelling of 96459600 in words is "ninety-six million, four hundred fifty-nine thousand, six hundred".