89045280 has 72 divisors (see below), whose sum is σ = 303871932. Its totient is φ = 23745024.

The previous prime is 89045279. The next prime is 89045287. The reversal of 89045280 is 8254098.

It can be written as a sum of positive squares in 2 ways, for example, as 86936976 + 2108304 = 9324^2 + 1452^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (89045287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29479 + ... + 32358.

Almost surely, 2^89045280 is an apocalyptic number.

89045280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89045280 is an abundant number, since it is smaller than the sum of its proper divisors (214826652).

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

89045280 is a wasteful number, since it uses less digits than its factorization.

89045280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61858 (or 61847 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 89045280 is about 9436.3806620971. The cubic root of 89045280 is about 446.5502134472.

The spelling of 89045280 in words is "eighty-nine million, forty-five thousand, two hundred eighty".