89820144 has 160 divisors (see below), whose sum is σ = 280934400. Its totient is φ = 27371520.

The previous prime is 89820131. The next prime is 89820161. The reversal of 89820144 is 44102898.

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

It is a junction number, because it is equal to n+sod(n) for n = 89820099 and 89820108.

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, 254272 + ... + 254624.

It is an arithmetic number, because the mean of its divisors is an integer number (1755840).

Almost surely, 2^89820144 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 89820144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140467200).

89820144 is an abundant number, since it is smaller than the sum of its proper divisors (191114256).

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

89820144 is a wasteful number, since it uses less digits than its factorization.

89820144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 89820144 is about 9477.3489964230. The cubic root of 89820144 is about 447.8417542715.

The spelling of 89820144 in words is "eighty-nine million, eight hundred twenty thousand, one hundred forty-four".