90537588 has 60 divisors (see below), whose sum is σ = 237918912. Its totient is φ = 30021840.

The previous prime is 90537583. The next prime is 90537619. The reversal of 90537588 is 88573509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90537583) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72933 + ... + 74163.

Almost surely, 2^90537588 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 90537588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118959456).

90537588 is an abundant number, since it is smaller than the sum of its proper divisors (147381324).

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

90537588 is a wasteful number, since it uses less digits than its factorization.

90537588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 90537588 is about 9515.1241715492. The cubic root of 90537588 is about 449.0309815048.

It can be divided in two parts, 90537 and 588, that added together give a cube (91125 = 45³).

The spelling of 90537588 in words is "ninety million, five hundred thirty-seven thousand, five hundred eighty-eight".