89125344 has 144 divisors (see below), whose sum is σ = 316068480. Its totient is φ = 23143680.

The previous prime is 89125313. The next prime is 89125367. The reversal of 89125344 is 44352198.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 89125299 and 89125308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20167 + ... + 24185.

It is an arithmetic number, because the mean of its divisors is an integer number (2194920).

Almost surely, 2^89125344 is an apocalyptic number.

89125344 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 89125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158034240).

89125344 is an abundant number, since it is smaller than the sum of its proper divisors (226943136).

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

89125344 is a wasteful number, since it uses less digits than its factorization.

89125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053 (or 4042 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 89125344 is about 9440.6220134057. The cubic root of 89125344 is about 446.6840101184.

It can be divided in two parts, 891 and 25344, that multiplied together give a square (22581504 = 4752²).

The spelling of 89125344 in words is "eighty-nine million, one hundred twenty-five thousand, three hundred forty-four".