90636 has 48 divisors (see below), whose sum is σ = 263424. Its totient is φ = 23616.

The previous prime is 90631. The next prime is 90641. The reversal of 90636 is 63609.

It is an interprime number because it is at equal distance from previous prime (90631) and next prime (90641).

It is not an unprimeable number, because it can be changed into a prime (90631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1051 + ... + 1133.

It is an arithmetic number, because the mean of its divisors is an integer number (5488).

2⁹⁰⁶³⁶ 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 90636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131712).

90636 is an abundant number, since it is smaller than the sum of its proper divisors (172788).

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

90636 is a wasteful number, since it uses less digits than its factorization.

90636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 90636 is about 301.0581339210. The cubic root of 90636 is about 44.9193617586.

The spelling of 90636 in words is "ninety thousand, six hundred thirty-six".