89130080 has 96 divisors (see below), whose sum is σ = 230265504. Its totient is φ = 32403456.

The previous prime is 89130049. The next prime is 89130113. The reversal of 89130080 is 8003198.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151547 + ... + 152133.

It is an arithmetic number, because the mean of its divisors is an integer number (2398599).

Almost surely, 2^89130080 is an apocalyptic number.

89130080 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 89130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115132752).

89130080 is an abundant number, since it is smaller than the sum of its proper divisors (141135424).

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

89130080 is a wasteful number, since it uses less digits than its factorization.

89130080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 89130080 is about 9440.8728410036. The cubic root of 89130080 is about 446.6919220392.

The spelling of 89130080 in words is "eighty-nine million, one hundred thirty thousand, eighty".