90544608 has 192 divisors, whose sum is σ = 329495040. Its totient is φ = 23500800.

The previous prime is 90544589. The next prime is 90544609. The reversal of 90544608 is 80644509.

90544608 is a `hidden beast` number, since 9 + 0 + 5 + 44 + 608 = 666.

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 (90544609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65848 + ... + 67208.

It is an arithmetic number, because the mean of its divisors is an integer number (1716120).

Almost surely, 2^90544608 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 90544608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164747520).

90544608 is an abundant number, since it is smaller than the sum of its proper divisors (238950432).

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

90544608 is a wasteful number, since it uses less digits than its factorization.

90544608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 90544608 is about 9515.4930508093. The cubic root of 90544608 is about 449.0425866885.

Subtracting from 90544608 its reverse (80644509), we obtain a palindrome (9900099).

The spelling of 90544608 in words is "ninety million, five hundred forty-four thousand, six hundred eight".