89988480 has 192 divisors, whose sum is σ = 329378400. Its totient is φ = 22560768.

The previous prime is 89988469. The next prime is 89988499. The reversal of 89988480 is 8488998.

89988480 is a `hidden beast` number, since 89 + 9 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 97461 + ... + 98379.

Almost surely, 2^89988480 is an apocalyptic number.

89988480 is a gapful number since it is divisible by the number (80) 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 89988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164689200).

89988480 is an abundant number, since it is smaller than the sum of its proper divisors (239389920).

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

89988480 is a wasteful number, since it uses less digits than its factorization.

89988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 89988480 is about 9486.2258037641. The cubic root of 89988480 is about 448.1213531796.

The spelling of 89988480 in words is "eighty-nine million, nine hundred eighty-eight thousand, four hundred eighty".