89144064 has 108 divisors (see below), whose sum is σ = 266729736. Its totient is φ = 29693952.

The previous prime is 89144051. The next prime is 89144087. The reversal of 89144064 is 46044198.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61492 + ... + 62924.

Almost surely, 2^89144064 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 89144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133364868).

89144064 is an abundant number, since it is smaller than the sum of its proper divisors (177585672).

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

89144064 is an equidigital number, since it uses as much as digits as its factorization.

89144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 89144064 is about 9441.6134214445. The cubic root of 89144064 is about 446.7152819539.

The spelling of 89144064 in words is "eighty-nine million, one hundred forty-four thousand, sixty-four".