89148320 has 48 divisors (see below), whose sum is σ = 217886760. Its totient is φ = 34427904.

The previous prime is 89148317. The next prime is 89148329. The reversal of 89148320 is 2384198.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 87086224 + 2062096 = 9332^2 + 1436^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (89148329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4967 + ... + 14246.

Almost surely, 2^89148320 is an apocalyptic number.

89148320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89148320 is an abundant number, since it is smaller than the sum of its proper divisors (128738440).

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

89148320 is a wasteful number, since it uses less digits than its factorization.

89148320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19257 (or 19249 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 89148320 is about 9441.8388039619. The cubic root of 89148320 is about 446.7223910082.

The spelling of 89148320 in words is "eighty-nine million, one hundred forty-eight thousand, three hundred twenty".