89681844 has 48 divisors (see below), whose sum is σ = 240928128. Its totient is φ = 25433088.

The previous prime is 89681819. The next prime is 89681857. The reversal of 89681844 is 44818698.

It is a junction number, because it is equal to n+sod(n) for n = 89681793 and 89681802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7612 + ... + 15404.

It is an arithmetic number, because the mean of its divisors is an integer number (5019336).

Almost surely, 2^89681844 is an apocalyptic number.

89681844 is a gapful number since it is divisible by the number (84) 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 89681844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120464064).

89681844 is an abundant number, since it is smaller than the sum of its proper divisors (151246284).

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

89681844 is a wasteful number, since it uses less digits than its factorization.

89681844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7944 (or 7942 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 89681844 is about 9470.0498414739. The cubic root of 89681844 is about 447.6117823600.

It can be divided in two parts, 89681 and 844, that added together give a triangular number (90525 = T₄₂₅).

The spelling of 89681844 in words is "eighty-nine million, six hundred eighty-one thousand, eight hundred forty-four".