96885600 has 288 divisors, whose sum is σ = 369976320. Its totient is φ = 21565440.

The previous prime is 96885589. The next prime is 96885623. The reversal of 96885600 is 658869.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1226361 + ... + 1226439.

It is an arithmetic number, because the mean of its divisors is an integer number (1284640).

Almost surely, 2^96885600 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 96885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184988160).

96885600 is an abundant number, since it is smaller than the sum of its proper divisors (273090720).

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

96885600 is a wasteful number, since it uses less digits than its factorization.

96885600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 96885600 is about 9843.0483083240. The cubic root of 96885600 is about 459.2893879979.

It can be divided in two parts, 968 and 85600, that added together give a palindrome (86568).

The spelling of 96885600 in words is "ninety-six million, eight hundred eighty-five thousand, six hundred".