90336624 has 160 divisors (see below), whose sum is σ = 281886720. Its totient is φ = 24385536.

The previous prime is 90336613. The next prime is 90336629. The reversal of 90336624 is 42663309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90336629) 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 31 ways as a sum of consecutive naturals, for example, 711249 + ... + 711375.

It is an arithmetic number, because the mean of its divisors is an integer number (1761792).

Almost surely, 2^90336624 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 90336624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140943360).

90336624 is an abundant number, since it is smaller than the sum of its proper divisors (191550096).

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

90336624 is a wasteful number, since it uses less digits than its factorization.

90336624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

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

The square root of 90336624 is about 9504.5580644236. The cubic root of 90336624 is about 448.6985011367.

The spelling of 90336624 in words is "ninety million, three hundred thirty-six thousand, six hundred twenty-four".