90276 has 12 divisors (see below), whose sum is σ = 210672. Its totient is φ = 30088.

The previous prime is 90271. The next prime is 90281. The reversal of 90276 is 67209.

It is an interprime number because it is at equal distance from previous prime (90271) and next prime (90281).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (90271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3750 + ... + 3773.

It is an arithmetic number, because the mean of its divisors is an integer number (17556).

2⁹⁰²⁷⁶ is an apocalyptic number.

It is an amenable number.

90276 is an abundant number, since it is smaller than the sum of its proper divisors (120396).

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 (105336).

90276 is a wasteful number, since it uses less digits than its factorization.

90276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7530 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 90276 is about 300.4596478731. The cubic root of 90276 is about 44.8598106325.

The spelling of 90276 in words is "ninety thousand, two hundred seventy-six".