89408160 has 144 divisors (see below), whose sum is σ = 315773640. Its totient is φ = 23009280.

The previous prime is 89408119. The next prime is 89408161. The reversal of 89408160 is 6180498.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86936976 + 2471184 = 9324^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (89408161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40690 + ... + 42830.

Almost surely, 2^89408160 is an apocalyptic number.

89408160 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 89408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157886820).

89408160 is an abundant number, since it is smaller than the sum of its proper divisors (226365480).

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

89408160 is a wasteful number, since it uses less digits than its factorization.

89408160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2180 counting only the distinct ones).

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

The square root of 89408160 is about 9455.5888235477. The cubic root of 89408160 is about 447.1559895800.

The spelling of 89408160 in words is "eighty-nine million, four hundred eight thousand, one hundred sixty".