89145984 has 64 divisors (see below), whose sum is σ = 239732640. Its totient is φ = 29346816.

The previous prime is 89145961. The next prime is 89145989. The reversal of 89145984 is 48954198.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (89145989) 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 7 ways as a sum of consecutive naturals, for example, 30474 + ... + 33270.

Almost surely, 2^89145984 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 89145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119866320).

89145984 is an abundant number, since it is smaller than the sum of its proper divisors (150586656).

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

89145984 is a wasteful number, since it uses less digits than its factorization.

89145984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2885 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 89145984 is about 9441.7150984342. The cubic root of 89145984 is about 446.7184890741.

The spelling of 89145984 in words is "eighty-nine million, one hundred forty-five thousand, nine hundred eighty-four".