89055280 has 80 divisors (see below), whose sum is σ = 223423200. Its totient is φ = 32901120.

The previous prime is 89055257. The next prime is 89055311. The reversal of 89055280 is 8255098.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61606 + ... + 63034.

It is an arithmetic number, because the mean of its divisors is an integer number (2792790).

Almost surely, 2^89055280 is an apocalyptic number.

89055280 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 89055280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111711600).

89055280 is an abundant number, since it is smaller than the sum of its proper divisors (134367920).

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

89055280 is a wasteful number, since it uses less digits than its factorization.

89055280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 89055280 is about 9436.9105113909. The cubic root of 89055280 is about 446.5669290440.

The spelling of 89055280 in words is "eighty-nine million, fifty-five thousand, two hundred eighty".