232071840 has 864 divisors, whose sum is σ = 1129355136. Its totient is φ = 42577920.

The previous prime is 232071823. The next prime is 232071883. The reversal of 232071840 is 48170232.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10090069 + ... + 10090091.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^232071840 is an apocalyptic number.

232071840 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 232071840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564677568).

232071840 is an abundant number, since it is smaller than the sum of its proper divisors (897283296).

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

232071840 is a wasteful number, since it uses less digits than its factorization.

232071840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 232071840 is about 15233.9042927281. The cubic root of 232071840 is about 614.5267825115.

The spelling of 232071840 in words is "two hundred thirty-two million, seventy-one thousand, eight hundred forty".