90870 has 32 divisors (see below), whose sum is σ = 235872. Its totient is φ = 22272.

The previous prime is 90863. The next prime is 90887. The reversal of 90870 is 7809.

It is a self number, because there is not a number n which added to its sum of digits gives 90870.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2⁹⁰⁸⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936).

90870 is an abundant number, since it is smaller than the sum of its proper divisors (145002).

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

90870 is a wasteful number, since it uses less digits than its factorization.

90870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 90870 is about 301.4465126685. The cubic root of 90870 is about 44.9579854765.

The spelling of 90870 in words is "ninety thousand, eight hundred seventy".