90060 has 48 divisors (see below), whose sum is σ = 268800. Its totient is φ = 22464.

The previous prime is 90059. The next prime is 90067. The reversal of 90060 is 6009.

90060 = 96² + 97² + ... + 104².

It is a super-2 number, since 2×90060² = 16221607200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (90067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101 + ... + 1179.

It is an arithmetic number, because the mean of its divisors is an integer number (5600).

2⁹⁰⁰⁶⁰ 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 90060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134400).

90060 is an abundant number, since it is smaller than the sum of its proper divisors (178740).

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

90060 is a wasteful number, since it uses less digits than its factorization.

90060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 108 counting only the distinct ones).

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

The square root of 90060 is about 300.0999833389. The cubic root of 90060 is about 44.8240039306.

Adding to 90060 its reverse (6009), we get a palindrome (96069).

The spelling of 90060 in words is "ninety thousand, sixty".