89830480 has 80 divisors (see below), whose sum is σ = 222217920. Its totient is φ = 33675264.

The previous prime is 89830463. The next prime is 89830519. The reversal of 89830480 is 8403898.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 171499 + ... + 172021.

It is an arithmetic number, because the mean of its divisors is an integer number (2777724).

Almost surely, 2^89830480 is an apocalyptic number.

89830480 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 89830480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111108960).

89830480 is an abundant number, since it is smaller than the sum of its proper divisors (132387440).

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

89830480 is a wasteful number, since it uses less digits than its factorization.

89830480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 89830480 is about 9477.8942809044. The cubic root of 89830480 is about 447.8589319877.

The spelling of 89830480 in words is "eighty-nine million, eight hundred thirty thousand, four hundred eighty".