36390624 has 96 divisors (see below), whose sum is σ = 102332160. Its totient is φ = 11289600.

The previous prime is 36390611. The next prime is 36390661. The reversal of 36390624 is 42609363.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 129364 + ... + 129644.

It is an arithmetic number, because the mean of its divisors is an integer number (1065960).

Almost surely, 2^36390624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36390624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51166080).

36390624 is an abundant number, since it is smaller than the sum of its proper divisors (65941536).

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

36390624 is a wasteful number, since it uses less digits than its factorization.

36390624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 36390624 is about 6032.4641731220. The cubic root of 36390624 is about 331.3827015959.

Adding to 36390624 its reverse (42609363), we get a palindrome (78999987).

The spelling of 36390624 in words is "thirty-six million, three hundred ninety thousand, six hundred twenty-four".