90398880 has 288 divisors, whose sum is σ = 363242880. Its totient is φ = 20183040.

The previous prime is 90398851. The next prime is 90398899. The reversal of 90398880 is 8889309.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205701 + ... + 206139.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 2^90398880 is an apocalyptic number.

90398880 is a gapful number since it is divisible by the number (90) 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 90398880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

90398880 is an abundant number, since it is smaller than the sum of its proper divisors (272844000).

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

90398880 is a wasteful number, since it uses less digits than its factorization.

90398880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 90398880 is about 9507.8325605787. The cubic root of 90398880 is about 448.8015518453.

The spelling of 90398880 in words is "ninety million, three hundred ninety-eight thousand, eight hundred eighty".