89408880 has 320 divisors, whose sum is σ = 347120640. Its totient is φ = 20966400.

The previous prime is 89408873. The next prime is 89408881. The reversal of 89408880 is 8880498.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89408881) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1259245 + ... + 1259315.

It is an arithmetic number, because the mean of its divisors is an integer number (1084752).

Almost surely, 2^89408880 is an apocalyptic number.

89408880 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 89408880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173560320).

89408880 is an abundant number, since it is smaller than the sum of its proper divisors (257711760).

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

89408880 is a wasteful number, since it uses less digits than its factorization.

89408880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 89408880 is about 9455.6268961926. The cubic root of 89408880 is about 447.1571898860.

The spelling of 89408880 in words is "eighty-nine million, four hundred eight thousand, eight hundred eighty".