90036003600 has 225 divisors, whose sum is σ = 323325948517. Its totient is φ = 23995198080.

The previous prime is 90036003593. The next prime is 90036003637. The reversal of 90036003600 is 630063009.

The square root of 90036003600 is 300060.

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

It can be written as a sum of positive squares in only one way, i.e., 32412961296 + 57623042304 = 180036^2 + 240048^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 54009967 + ... + 54011633.

Almost surely, 2^90036003600 is an apocalyptic number.

90036003600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90036003600 is the 300060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90036003600

90036003600 is an abundant number, since it is smaller than the sum of its proper divisors (233289944917).

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

90036003600 is an equidigital number, since it uses as much as digits as its factorization.

90036003600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Multiplying 90036003600 by its product of nonzero digits (2916), we get a square (262544986497600 = 16203240²).

Adding to 90036003600 its reverse (630063009), we get a palindrome (90666066609).

The spelling of 90036003600 in words is "ninety billion, thirty-six million, three thousand, six hundred".