96537600 has 198 divisors, whose sum is σ = 346475220. Its totient is φ = 25681920.

The previous prime is 96537589. The next prime is 96537619. The reversal of 96537600 is 673569.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230191 + ... + 230609.

Almost surely, 2^96537600 is an apocalyptic number.

96537600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173237610).

96537600 is an abundant number, since it is smaller than the sum of its proper divisors (249937620).

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

96537600 is a wasteful number, since it uses less digits than its factorization.

96537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 96537600 is about 9825.3549554202. The cubic root of 96537600 is about 458.7388264571.

The spelling of 96537600 in words is "ninety-six million, five hundred thirty-seven thousand, six hundred".