232081920 has 240 divisors, whose sum is σ = 919226880. Its totient is φ = 53010432.

The previous prime is 232081907. The next prime is 232081939. The reversal of 232081920 is 29180232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160561 + ... + 161999.

It is an arithmetic number, because the mean of its divisors is an integer number (3830112).

Almost surely, 2^232081920 is an apocalyptic number.

232081920 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 232081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440).

232081920 is an abundant number, since it is smaller than the sum of its proper divisors (687144960).

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

232081920 is a wasteful number, since it uses less digits than its factorization.

232081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 232081920 is about 15234.2351301271. The cubic root of 232081920 is about 614.5356796707.

The spelling of 232081920 in words is "two hundred thirty-two million, eighty-one thousand, nine hundred twenty".