90144432 has 120 divisors (see below), whose sum is σ = 296234016. Its totient is φ = 25049088.

The previous prime is 90144427. The next prime is 90144463. The reversal of 90144432 is 23444109.

90144432 is a `hidden beast` number, since 90 + 144 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 90144396 and 90144405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36088 + ... + 38504.

Almost surely, 2^90144432 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 90144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148117008).

90144432 is an abundant number, since it is smaller than the sum of its proper divisors (206089584).

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

90144432 is a wasteful number, since it uses less digits than its factorization.

90144432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 90144432 is about 9494.4421637082. The cubic root of 90144432 is about 448.3800718108.

The spelling of 90144432 in words is "ninety million, one hundred forty-four thousand, four hundred thirty-two".