89408000 has 160 divisors (see below), whose sum is σ = 245127168. Its totient is φ = 32256000.

The previous prime is 89407993. The next prime is 89408009. The reversal of 89408000 is 80498.

It is a tau number, because it is divible by the number of its divisors (160).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (89408009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703937 + ... + 704063.

Almost surely, 2^89408000 is an apocalyptic number.

89408000 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 89408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122563584).

89408000 is an abundant number, since it is smaller than the sum of its proper divisors (155719168).

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

89408000 is a wasteful number, since it uses less digits than its factorization.

89408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 89408000 is about 9455.5803629391. The cubic root of 89408000 is about 447.1557228445.

Adding to 89408000 its reverse (80498), we get a palindrome (89488498).

The spelling of 89408000 in words is "eighty-nine million, four hundred eight thousand".