89577280 has 112 divisors (see below), whose sum is σ = 234141264. Its totient is φ = 32440320.

The previous prime is 89577239. The next prime is 89577287. The reversal of 89577280 is 8277598.

It can be written as a sum of positive squares in 8 ways, for example, as 29855296 + 59721984 = 5464^2 + 7728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 89577280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89577287) 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 15 ways as a sum of consecutive naturals, for example, 253584 + ... + 253936.

It is an arithmetic number, because the mean of its divisors is an integer number (2090547).

Almost surely, 2^89577280 is an apocalyptic number.

89577280 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 89577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117070632).

89577280 is an abundant number, since it is smaller than the sum of its proper divisors (144563984).

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

89577280 is a wasteful number, since it uses less digits than its factorization.

89577280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 46.

The square root of 89577280 is about 9464.5274578290. The cubic root of 89577280 is about 447.4377512948.

The spelling of 89577280 in words is "eighty-nine million, five hundred seventy-seven thousand, two hundred eighty".