89048160 has 120 divisors (see below), whose sum is σ = 314311536. Its totient is φ = 23742720.

The previous prime is 89048131. The next prime is 89048171. The reversal of 89048160 is 6184098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 19 ways as a sum of consecutive naturals, for example, 9525 + ... + 16395.

Almost surely, 2^89048160 is an apocalyptic number.

89048160 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 89048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157155768).

89048160 is an abundant number, since it is smaller than the sum of its proper divisors (225263376).

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

89048160 is a wasteful number, since it uses less digits than its factorization.

89048160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6898 (or 6881 counting only the distinct ones).

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

The square root of 89048160 is about 9436.5332617440. The cubic root of 89048160 is about 446.5550276674. Note that the first 3 decimals are identical.

The spelling of 89048160 in words is "eighty-nine million, forty-eight thousand, one hundred sixty".