90124080 has 80 divisors (see below), whose sum is σ = 281526624. Its totient is φ = 23848960.

The previous prime is 90124079. The next prime is 90124091. The reversal of 90124080 is 8042109.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 90124080.

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, 31510 + ... + 34250.

Almost surely, 2^90124080 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 90124080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140763312).

90124080 is an abundant number, since it is smaller than the sum of its proper divisors (191402544).

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

90124080 is a wasteful number, since it uses less digits than its factorization.

90124080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 90124080 is about 9493.3703182800. The cubic root of 90124080 is about 448.3463255296.

90124080 divided by its sum of digits (24) gives a triangular number (3755170 = T₂₇₄₀).

Adding to 90124080 its reverse (8042109), we get a palindrome (98166189).

The spelling of 90124080 in words is "ninety million, one hundred twenty-four thousand, eighty".