90048 has 56 divisors (see below), whose sum is σ = 276352. Its totient is φ = 25344.

The previous prime is 90031. The next prime is 90053. The reversal of 90048 is 84009.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1311 + ... + 1377.

2⁹⁰⁰⁴⁸ 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 90048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138176).

90048 is an abundant number, since it is smaller than the sum of its proper divisors (186304).

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

90048 is a wasteful number, since it uses less digits than its factorization.

90048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

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

The square root of 90048 is about 300.0799893362. The cubic root of 90048 is about 44.8220129914.

The spelling of 90048 in words is "ninety thousand, forty-eight".