90480 has 80 divisors (see below), whose sum is σ = 312480. Its totient is φ = 21504.

The previous prime is 90473. The next prime is 90481. The reversal of 90480 is 8409.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90481) by changing a digit.

90480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3106 + ... + 3134.

It is an arithmetic number, because the mean of its divisors is an integer number (3906).

2⁹⁰⁴⁸⁰ is an apocalyptic number.

90480 is the 174-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

90480 is an abundant number, since it is smaller than the sum of its proper divisors (222000).

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

90480 is a wasteful number, since it uses less digits than its factorization.

90480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 90480 is about 300.7989361683. The cubic root of 90480 is about 44.8935756669.

Adding to 90480 its reverse (8409), we get a palindrome (98889).

The spelling of 90480 in words is "ninety thousand, four hundred eighty".