90322624 has 56 divisors (see below), whose sum is σ = 210413600. Its totient is φ = 37656576.

The previous prime is 90322621. The next prime is 90322627. The reversal of 90322624 is 42622309.

It is an interprime number because it is at equal distance from previous prime (90322621) and next prime (90322627).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 90322592 and 90322601.

It is not an unprimeable number, because it can be changed into a prime (90322621) by changing a digit.

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, 13852 + ... + 19300.

Almost surely, 2^90322624 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 90322624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105206800).

90322624 is an abundant number, since it is smaller than the sum of its proper divisors (120090976).

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

90322624 is a wasteful number, since it uses less digits than its factorization.

90322624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 90322624 is about 9503.8215471462. The cubic root of 90322624 is about 448.6753207872.

The spelling of 90322624 in words is "ninety million, three hundred twenty-two thousand, six hundred twenty-four".