89837120 has 56 divisors (see below), whose sum is σ = 218002104. Its totient is φ = 35250176.

The previous prime is 89837119. The next prime is 89837131. The reversal of 89837120 is 2173898.

It can be written as a sum of positive squares in 4 ways, for example, as 29246464 + 60590656 = 5408^2 + 7784^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14312 + ... + 19608.

Almost surely, 2^89837120 is an apocalyptic number.

89837120 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 89837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109001052).

89837120 is an abundant number, since it is smaller than the sum of its proper divisors (128164984).

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

89837120 is a wasteful number, since it uses less digits than its factorization.

89837120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 89837120 is about 9478.2445632089. The cubic root of 89837120 is about 447.8699665127.

The spelling of 89837120 in words is "eighty-nine million, eight hundred thirty-seven thousand, one hundred twenty".