90708480 has 240 divisors, whose sum is σ = 326836224. Its totient is φ = 23224320.

The previous prime is 90708479. The next prime is 90708521. The reversal of 90708480 is 8480709.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714177 + ... + 714303.

Almost surely, 2^90708480 is an apocalyptic number.

90708480 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 90708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163418112).

90708480 is an abundant number, since it is smaller than the sum of its proper divisors (236127744).

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

90708480 is a wasteful number, since it uses less digits than its factorization.

90708480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 90708480 is about 9524.0999574763. The cubic root of 90708480 is about 449.3133230696.

The spelling of 90708480 in words is "ninety million, seven hundred eight thousand, four hundred eighty".