89084160 has 432 divisors, whose sum is σ = 363504960. Its totient is φ = 19906560.

The previous prime is 89084153. The next prime is 89084161. The reversal of 89084160 is 6148098.

It is a happy number.

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 (89084161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2407662 + ... + 2407698.

Almost surely, 2^89084160 is an apocalyptic number.

89084160 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 89084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181752480).

89084160 is an abundant number, since it is smaller than the sum of its proper divisors (274420800).

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

89084160 is a wasteful number, since it uses less digits than its factorization.

89084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 89084160 is about 9438.4405491585. The cubic root of 89084160 is about 446.6151966633.

The spelling of 89084160 in words is "eighty-nine million, eighty-four thousand, one hundred sixty".