90504024 has 64 divisors (see below), whose sum is σ = 246032640. Its totient is φ = 27576960.

The previous prime is 90504017. The next prime is 90504047. The reversal of 90504024 is 42040509.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 90503985 and 90504003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32029 + ... + 34739.

It is an arithmetic number, because the mean of its divisors is an integer number (3844260).

Almost surely, 2^90504024 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 90504024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123016320).

90504024 is an abundant number, since it is smaller than the sum of its proper divisors (155528616).

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

90504024 is a wasteful number, since it uses less digits than its factorization.

90504024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 90504024 is about 9513.3602896138. The cubic root of 90504024 is about 448.9754865478.

The spelling of 90504024 in words is "ninety million, five hundred four thousand, twenty-four".