90540 has 36 divisors (see below), whose sum is σ = 275184. Its totient is φ = 24096.

The previous prime is 90533. The next prime is 90547. The reversal of 90540 is 4509.

It is an interprime number because it is at equal distance from previous prime (90533) and next prime (90547).

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (90547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2⁹⁰⁵⁴⁰ is an apocalyptic number.

90540 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592).

90540 is an abundant number, since it is smaller than the sum of its proper divisors (184644).

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

90540 is a wasteful number, since it uses less digits than its factorization.

90540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 90540 is about 300.8986540349. The cubic root of 90540 is about 44.9034968995.

It can be divided in two parts, 90 and 540, that added together give a triangular number (630 = T₃₅).

The spelling of 90540 in words is "ninety thousand, five hundred forty".