90725184 has 280 divisors, whose sum is σ = 308323488. Its totient is φ = 26127360.

The previous prime is 90725183. The next prime is 90725207. The reversal of 90725184 is 48152709.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90725183) 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 39 ways as a sum of consecutive naturals, for example, 2109867 + ... + 2109909.

Almost surely, 2^90725184 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 90725184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154161744).

90725184 is an abundant number, since it is smaller than the sum of its proper divisors (217598304).

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

90725184 is a wasteful number, since it uses less digits than its factorization.

90725184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 90725184 is about 9524.9768503656. The cubic root of 90725184 is about 449.3409017814.

It can be divided in two parts, 90725 and 184, that added together give a palindrome (90909).

The spelling of 90725184 in words is "ninety million, seven hundred twenty-five thousand, one hundred eighty-four".