90531504 has 240 divisors, whose sum is σ = 317241600. Its totient is φ = 23514624.

The previous prime is 90531491. The next prime is 90531509. The reversal of 90531504 is 40513509.

It is not an unprimeable number, because it can be changed into a prime (90531509) 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 47 ways as a sum of consecutive naturals, for example, 555327 + ... + 555489.

It is an arithmetic number, because the mean of its divisors is an integer number (1321840).

Almost surely, 2^90531504 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 90531504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158620800).

90531504 is an abundant number, since it is smaller than the sum of its proper divisors (226710096).

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

90531504 is a wasteful number, since it uses less digits than its factorization.

90531504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 90531504 is about 9514.8044646225. The cubic root of 90531504 is about 449.0209231937.

The spelling of 90531504 in words is "ninety million, five hundred thirty-one thousand, five hundred four".