90364036 has 45 divisors (see below), whose sum is σ = 186403749. Its totient is φ = 38328192.

The previous prime is 90364003. The next prime is 90364067. The reversal of 90364036 is 63046309.

The square root of 90364036 is 9506.

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., 40576900 + 49787136 = 6370^2 + 7056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 90363989 and 90364007.

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 14 ways as a sum of consecutive naturals, for example, 931540 + ... + 931636.

Almost surely, 2^90364036 is an apocalyptic number.

90364036 is the 9506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90364036

90364036 is an abundant number, since it is smaller than the sum of its proper divisors (96039713).

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

90364036 is an frugal number, since it uses more digits than its factorization.

90364036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The cubic root of 90364036 is about 448.7438813266.

Multiplying 90364036 by its product of nonzero digits (11664), we get a square (1054006115904 = 1026648²).

The spelling of 90364036 in words is "ninety million, three hundred sixty-four thousand, thirty-six".