232665840 has 240 divisors, whose sum is σ = 882666720. Its totient is φ = 54405120.

The previous prime is 232665833. The next prime is 232665871. The reversal of 232665840 is 48566232.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 232665795 and 232665804.

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, 229174 + ... + 230186.

It is an arithmetic number, because the mean of its divisors is an integer number (3677778).

Almost surely, 2^232665840 is an apocalyptic number.

232665840 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 232665840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441333360).

232665840 is an abundant number, since it is smaller than the sum of its proper divisors (650000880).

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

232665840 is a wasteful number, since it uses less digits than its factorization.

232665840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 232665840 is about 15253.3878204155. The cubic root of 232665840 is about 615.0506402877.

The spelling of 232665840 in words is "two hundred thirty-two million, six hundred sixty-five thousand, eight hundred forty".