90048000 has 320 divisors, whose sum is σ = 347263488. Its totient is φ = 20275200.

The previous prime is 90047999. The next prime is 90048029. The reversal of 90048000 is 84009.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343967 + ... + 1344033.

Almost surely, 2^90048000 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 90048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173631744).

90048000 is an abundant number, since it is smaller than the sum of its proper divisors (257215488).

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

90048000 is an equidigital number, since it uses as much as digits as its factorization.

90048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

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

The square root of 90048000 is about 9489.3624654136. The cubic root of 90048000 is about 448.2201299142.

The spelling of 90048000 in words is "ninety million, forty-eight thousand".