89442584 has 128 divisors (see below), whose sum is σ = 223948800. Its totient is φ = 32461440.

The previous prime is 89442553. The next prime is 89442589. The reversal of 89442584 is 48524498.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89442589) 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 31 ways as a sum of consecutive naturals, for example, 835859 + ... + 835965.

It is an arithmetic number, because the mean of its divisors is an integer number (1749600).

Almost surely, 2^89442584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89442584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111974400).

89442584 is an abundant number, since it is smaller than the sum of its proper divisors (134506216).

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

89442584 is a wasteful number, since it uses less digits than its factorization.

89442584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its digits is 368640, while the sum is 44.

The square root of 89442584 is about 9457.4089474866. The cubic root of 89442584 is about 447.2133703332.

The spelling of 89442584 in words is "eighty-nine million, four hundred forty-two thousand, five hundred eighty-four".