90048096 has 72 divisors (see below), whose sum is σ = 257572224. Its totient is φ = 29840640.

The previous prime is 90048089. The next prime is 90048137. The reversal of 90048096 is 69084009.

90048096 is a `hidden beast` number, since 90 + 0 + 480 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90048096.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 54190 + ... + 55826.

It is an arithmetic number, because the mean of its divisors is an integer number (3577392).

Almost surely, 2^90048096 is an apocalyptic number.

90048096 is a gapful number since it is divisible by the number (96) 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 90048096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128786112).

90048096 is an abundant number, since it is smaller than the sum of its proper divisors (167524128).

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

90048096 is a wasteful number, since it uses less digits than its factorization.

90048096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 90048096 is about 9489.3675237078. The cubic root of 90048096 is about 448.2202891963.

The spelling of 90048096 in words is "ninety million, forty-eight thousand, ninety-six".