232989120 has 504 divisors, whose sum is σ = 1011838464. Its totient is φ = 48771072.

The previous prime is 232989047. The next prime is 232989139. The reversal of 232989120 is 21989232.

It is a tau number, because it is divible by the number of its divisors (504).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834497 + ... + 1834623.

It is an arithmetic number, because the mean of its divisors is an integer number (2007616).

Almost surely, 2^232989120 is an apocalyptic number.

232989120 is a gapful number since it is divisible by the number (20) 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 232989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505919232).

232989120 is an abundant number, since it is smaller than the sum of its proper divisors (778849344).

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

232989120 is a wasteful number, since it uses less digits than its factorization.

232989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 232989120 is about 15263.9811320638. The cubic root of 232989120 is about 615.3353713159.

The spelling of 232989120 in words is "two hundred thirty-two million, nine hundred eighty-nine thousand, one hundred twenty".