89103672 has 128 divisors (see below), whose sum is σ = 292147200. Its totient is φ = 24624000.

The previous prime is 89103617. The next prime is 89103683. The reversal of 89103672 is 27630198.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45922 + ... + 47822.

It is an arithmetic number, because the mean of its divisors is an integer number (2282400).

Almost surely, 2^89103672 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 89103672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146073600).

89103672 is an abundant number, since it is smaller than the sum of its proper divisors (203043528).

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

89103672 is a wasteful number, since it uses less digits than its factorization.

89103672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 89103672 is about 9439.4741378956. The cubic root of 89103672 is about 446.6478014854.

The spelling of 89103672 in words is "eighty-nine million, one hundred three thousand, six hundred seventy-two".