89873280 has 256 divisors, whose sum is σ = 364262400. Its totient is φ = 20514816.

The previous prime is 89873269. The next prime is 89873281. The reversal of 89873280 is 8237898.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89873281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120589 + ... + 121331.

It is an arithmetic number, because the mean of its divisors is an integer number (1422900).

Almost surely, 2^89873280 is an apocalyptic number.

89873280 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 89873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182131200).

89873280 is an abundant number, since it is smaller than the sum of its proper divisors (274389120).

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

89873280 is a wasteful number, since it uses less digits than its factorization.

89873280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 89873280 is about 9480.1518975173. The cubic root of 89873280 is about 447.9300486021.

The spelling of 89873280 in words is "eighty-nine million, eight hundred seventy-three thousand, two hundred eighty".