90570624 has 64 divisors (see below), whose sum is σ = 242221440. Its totient is φ = 29984256.

The previous prime is 90570617. The next prime is 90570629. The reversal of 90570624 is 42607509.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90570629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61869 + ... + 63315.

It is an arithmetic number, because the mean of its divisors is an integer number (3784710).

Almost surely, 2^90570624 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 90570624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121110720).

90570624 is an abundant number, since it is smaller than the sum of its proper divisors (151650816).

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

90570624 is a wasteful number, since it uses less digits than its factorization.

90570624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 90570624 is about 9516.8599863610. The cubic root of 90570624 is about 449.0855900710.

The spelling of 90570624 in words is "ninety million, five hundred seventy thousand, six hundred twenty-four".