89877144 has 128 divisors (see below), whose sum is σ = 277977600. Its totient is φ = 23639040.

The previous prime is 89877143. The next prime is 89877167. The reversal of 89877144 is 44177898.

It is a junction number, because it is equal to n+sod(n) for n = 89877093 and 89877102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89877143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117724 + ... + 118484.

It is an arithmetic number, because the mean of its divisors is an integer number (2171700).

Almost surely, 2^89877144 is an apocalyptic number.

89877144 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 89877144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138988800).

89877144 is an abundant number, since it is smaller than the sum of its proper divisors (188100456).

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

89877144 is a wasteful number, since it uses less digits than its factorization.

89877144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 829 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 89877144 is about 9480.3556895298. The cubic root of 89877144 is about 447.9364679253.

The spelling of 89877144 in words is "eighty-nine million, eight hundred seventy-seven thousand, one hundred forty-four".