96240900 has 108 divisors (see below), whose sum is σ = 323968848. Its totient is φ = 21994560.

The previous prime is 96240887. The next prime is 96240929. The reversal of 96240900 is 904269.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11427 + ... + 17973.

Almost surely, 2^96240900 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 96240900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161984424).

96240900 is an abundant number, since it is smaller than the sum of its proper divisors (227727948).

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

96240900 is a wasteful number, since it uses less digits than its factorization.

96240900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6578 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 96240900 is about 9810.2446452675. The cubic root of 96240900 is about 458.2683794087.

The spelling of 96240900 in words is "ninety-six million, two hundred forty thousand, nine hundred".