232963640 has 192 divisors, whose sum is σ = 675682560. Its totient is φ = 71608320.

The previous prime is 232963613. The next prime is 232963651. The reversal of 232963640 is 46369232.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 232963640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044569 + ... + 1044791.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 2^232963640 is an apocalyptic number.

232963640 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 232963640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337841280).

232963640 is an abundant number, since it is smaller than the sum of its proper divisors (442718920).

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

232963640 is a wasteful number, since it uses less digits than its factorization.

232963640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The square root of 232963640 is about 15263.1464646055. The cubic root of 232963640 is about 615.3129392000.

The spelling of 232963640 in words is "two hundred thirty-two million, nine hundred sixty-three thousand, six hundred forty".