90396435600 has 135 divisors (see below), whose sum is σ = 313763356569. Its totient is φ = 24100905600.

The previous prime is 90396435583. The next prime is 90396435617. The reversal of 90396435600 is 653469309.

It is a happy number.

The square root of 90396435600 is 300660.

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

90396435600 is a `hidden beast` number, since 9 + 0 + 3 + 9 + 6 + 4 + 35 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (90396435583) and next prime (90396435617).

It can be written as a sum of positive squares in only one way, i.e., 32542716816 + 57853718784 = 180396^2 + 240528^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18037095 + ... + 18042105.

Almost surely, 2^90396435600 is an apocalyptic number.

90396435600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90396435600 is the 300660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90396435600

90396435600 is an abundant number, since it is smaller than the sum of its proper divisors (223366920969).

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

90396435600 is an equidigital number, since it uses as much as digits as its factorization.

90396435600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 90396435600 in words is "ninety billion, three hundred ninety-six million, four hundred thirty-five thousand, six hundred".