90099648 has 112 divisors (see below), whose sum is σ = 276514560. Its totient is φ = 28714752.

The previous prime is 90099637. The next prime is 90099697. The reversal of 90099648 is 84699009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38611 + ... + 40877.

It is an arithmetic number, because the mean of its divisors is an integer number (2468880).

Almost surely, 2^90099648 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 90099648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

90099648 is an abundant number, since it is smaller than the sum of its proper divisors (186414912).

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

90099648 is a wasteful number, since it uses less digits than its factorization.

90099648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 90099648 is about 9492.0834383185. The cubic root of 90099648 is about 448.3058073631.

The spelling of 90099648 in words is "ninety million, ninety-nine thousand, six hundred forty-eight".