90523584 has 84 divisors (see below), whose sum is σ = 270790416. Its totient is φ = 28858368.

The previous prime is 90523583. The next prime is 90523597. The reversal of 90523584 is 48532509.

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 (90523583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9832 + ... + 16664.

Almost surely, 2^90523584 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 90523584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135395208).

90523584 is an abundant number, since it is smaller than the sum of its proper divisors (180266832).

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

90523584 is a wasteful number, since it uses less digits than its factorization.

90523584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6874 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 90523584 is about 9514.3882619956. The cubic root of 90523584 is about 449.0078288591.

The spelling of 90523584 in words is "ninety million, five hundred twenty-three thousand, five hundred eighty-four".