89112960 has 224 divisors, whose sum is σ = 321079680. Its totient is φ = 23639040.

The previous prime is 89112943. The next prime is 89112973. The reversal of 89112960 is 6921198.

It is a super-3 number, since 3×89112960³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 466465 + ... + 466655.

Almost surely, 2^89112960 is an apocalyptic number.

89112960 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 89112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160539840).

89112960 is an abundant number, since it is smaller than the sum of its proper divisors (231966720).

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

89112960 is an equidigital number, since it uses as much as digits as its factorization.

89112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 89112960 is about 9439.9661016341. The cubic root of 89112960 is about 446.6633201898.

The spelling of 89112960 in words is "eighty-nine million, one hundred twelve thousand, nine hundred sixty".