90600 has 48 divisors (see below), whose sum is σ = 282720. Its totient is φ = 24000.

The previous prime is 90599. The next prime is 90617. The reversal of 90600 is 609.

It is a Cunningham number, because it is equal to 301²-1.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 90600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525 + ... + 675.

It is an arithmetic number, because the mean of its divisors is an integer number (5890).

2⁹⁰⁶⁰⁰ 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 90600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141360).

90600 is an abundant number, since it is smaller than the sum of its proper divisors (192120).

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

90600 is a wasteful number, since it uses less digits than its factorization.

90600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 90600 is about 300.9983388658. The cubic root of 90600 is about 44.9134137498.

The spelling of 90600 in words is "ninety thousand, six hundred".