232819920 has 400 divisors, whose sum is σ = 893038080. Its totient is φ = 55987200.

The previous prime is 232819903. The next prime is 232819933. The reversal of 232819920 is 29918232.

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 79 ways as a sum of consecutive naturals, for example, 3816690 + ... + 3816750.

Almost surely, 2^232819920 is an apocalyptic number.

232819920 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 232819920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446519040).

232819920 is an abundant number, since it is smaller than the sum of its proper divisors (660218160).

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

232819920 is a wasteful number, since it uses less digits than its factorization.

232819920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

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

The square root of 232819920 is about 15258.4376657638. The cubic root of 232819920 is about 615.1863801553.

The spelling of 232819920 in words is "two hundred thirty-two million, eight hundred nineteen thousand, nine hundred twenty".