90720624 has 40 divisors (see below), whose sum is σ = 236694672. Its totient is φ = 29939200.

The previous prime is 90720599. The next prime is 90720689. The reversal of 90720624 is 42602709.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 90720591 and 90720600.

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 7 ways as a sum of consecutive naturals, for example, 4509 + ... + 14204.

Almost surely, 2^90720624 is an apocalyptic number.

It is an amenable number.

90720624 is an abundant number, since it is smaller than the sum of its proper divisors (145974048).

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

90720624 is a wasteful number, since it uses less digits than its factorization.

90720624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18825 (or 18819 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 90720624 is about 9524.7374766972. The cubic root of 90720624 is about 449.3333734460. Note that the first 4 decimals are identical.

The spelling of 90720624 in words is "ninety million, seven hundred twenty thousand, six hundred twenty-four".