90525600 has 360 divisors, whose sum is σ = 362976768. Its totient is φ = 21772800.

The previous prime is 90525587. The next prime is 90525607. The reversal of 90525600 is 652509.

90525600 is a `hidden beast` number, since 9 + 0 + 52 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (90525607) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 712737 + ... + 712863.

Almost surely, 2^90525600 is an apocalyptic number.

90525600 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 90525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181488384).

90525600 is an abundant number, since it is smaller than the sum of its proper divisors (272451168).

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

90525600 is a wasteful number, since it uses less digits than its factorization.

90525600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 90525600 is about 9514.4942062098. The cubic root of 90525600 is about 449.0111620349.

It can be divided in two parts, 90525 and 600, that added together give a cube (91125 = 45³).

The spelling of 90525600 in words is "ninety million, five hundred twenty-five thousand, six hundred".