90610 has 32 divisors (see below), whose sum is σ = 190512. Its totient is φ = 30720.

The previous prime is 90599. The next prime is 90617. The reversal of 90610 is 1609.

It can be written as a sum of positive squares in 8 ways, for example, as 12769 + 77841 = 113^2 + 279^2 .

It is not an unprimeable number, because it can be changed into a prime (90617) by changing a digit.

90610 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2190 + ... + 2230.

2⁹⁰⁶¹⁰ is an apocalyptic number.

90610 is an abundant number, since it is smaller than the sum of its proper divisors (99902).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256).

90610 is a wasteful number, since it uses less digits than its factorization.

90610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 90610 is about 301.0149497949. The cubic root of 90610 is about 44.9150661325.

The spelling of 90610 in words is "ninety thousand, six hundred ten".