89915280 has 320 divisors, whose sum is σ = 359976960. Its totient is φ = 18044928.

The previous prime is 89915263. The next prime is 89915317. The reversal of 89915280 is 8251998.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502231 + ... + 502409.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 2^89915280 is an apocalyptic number.

89915280 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 89915280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

89915280 is an abundant number, since it is smaller than the sum of its proper divisors (270061680).

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

89915280 is a wasteful number, since it uses less digits than its factorization.

89915280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 89915280 is about 9482.3667931588. The cubic root of 89915280 is about 447.9998139880. Note that the first 3 decimals are identical.

The spelling of 89915280 in words is "eighty-nine million, nine hundred fifteen thousand, two hundred eighty".