89830080 has 224 divisors, whose sum is σ = 326623680. Its totient is φ = 23224320.

The previous prime is 89830079. The next prime is 89830087. The reversal of 89830080 is 8003898.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89830087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319540 + ... + 319820.

Almost surely, 2^89830080 is an apocalyptic number.

89830080 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 89830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163311840).

89830080 is an abundant number, since it is smaller than the sum of its proper divisors (236793600).

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

89830080 is a wasteful number, since it uses less digits than its factorization.

89830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 89830080 is about 9477.8731791473. The cubic root of 89830080 is about 447.8582672399.

The spelling of 89830080 in words is "eighty-nine million, eight hundred thirty thousand, eighty".