96364600 has 48 divisors (see below), whose sum is σ = 228300120. Its totient is φ = 37814400.

The previous prime is 96364589. The next prime is 96364601. The reversal of 96364600 is 646369.

96364600 = T₄₅₁ + T₄₅₂ + ... + T₈₇₄.

It is a super-2 number, since 2×96364600² = 18572272266320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96364601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6055 + ... + 15145.

Almost surely, 2^96364600 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 96364600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114150060).

96364600 is an abundant number, since it is smaller than the sum of its proper divisors (131935520).

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

96364600 is a wasteful number, since it uses less digits than its factorization.

96364600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9160 (or 9151 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 96364600 is about 9816.5472545086. The cubic root of 96364600 is about 458.4646352923.

The spelling of 96364600 in words is "ninety-six million, three hundred sixty-four thousand, six hundred".