96825600 has 243 divisors, whose sum is σ = 354822559. Its totient is φ = 25190400.

The previous prime is 96825583. The next prime is 96825629. The reversal of 96825600 is 652869.

The square root of 96825600 is 9840.

It is a perfect power (a square), and thus also a powerful number.

96825600 is a `hidden beast` number, since 96 + 8 + 2 + 560 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40755456 + 56070144 = 6384^2 + 7488^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2361580 + ... + 2361620.

Almost surely, 2^96825600 is an apocalyptic number.

96825600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

96825600 is the 9840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96825600

96825600 is an abundant number, since it is smaller than the sum of its proper divisors (257996959).

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

96825600 is a wasteful number, since it uses less digits than its factorization.

96825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 96825600 is about 459.1945577586.

Multiplying 96825600 by its sum of digits (36), we get a square (3485721600 = 59040²).

96825600 divided by its sum of digits (36) gives a square (2689600 = 1640²).

The spelling of 96825600 in words is "ninety-six million, eight hundred twenty-five thousand, six hundred".