89781120 has 384 divisors, whose sum is σ = 367567200. Its totient is φ = 19906560.

The previous prime is 89781113. The next prime is 89781143. The reversal of 89781120 is 2118798.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823626 + ... + 823734.

Almost surely, 2^89781120 is an apocalyptic number.

89781120 is a gapful number since it is divisible by the number (80) 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 89781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183783600).

89781120 is an abundant number, since it is smaller than the sum of its proper divisors (277786080).

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

89781120 is a wasteful number, since it uses less digits than its factorization.

89781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 89781120 is about 9475.2899691777. The cubic root of 89781120 is about 447.7768872032.

The spelling of 89781120 in words is "eighty-nine million, seven hundred eighty-one thousand, one hundred twenty".