90860 has 48 divisors (see below), whose sum is σ = 241920. Its totient is φ = 27840.

The previous prime is 90847. The next prime is 90863. The reversal of 90860 is 6809.

90860 = T₄₁ + T₄₂ + ... + T₈₄.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90860.

It is not an unprimeable number, because it can be changed into a prime (90863) by changing a digit.

90860 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, 1511 + ... + 1569.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁹⁰⁸⁶⁰ 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 90860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

90860 is an abundant number, since it is smaller than the sum of its proper divisors (151060).

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

90860 is a wasteful number, since it uses less digits than its factorization.

90860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 90860 is about 301.4299255217. The cubic root of 90860 is about 44.9563362473.

The spelling of 90860 in words is "ninety thousand, eight hundred sixty".