232706880 has 504 divisors, whose sum is σ = 996028488. Its totient is φ = 49545216.

The previous prime is 232706861. The next prime is 232706899. The reversal of 232706880 is 88607232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (232706861) and next prime (232706899).

It can be written as a sum of positive squares in 4 ways, for example, as 42928704 + 189778176 = 6552^2 + 13776^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 2398992 + ... + 2399088.

It is an arithmetic number, because the mean of its divisors is an integer number (1976247).

Almost surely, 2^232706880 is an apocalyptic number.

232706880 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 232706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498014244).

232706880 is an abundant number, since it is smaller than the sum of its proper divisors (763321608).

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

232706880 is a wasteful number, since it uses less digits than its factorization.

232706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 232706880 is about 15254.7330360121. The cubic root of 232706880 is about 615.0868011530.

It can be divided in two parts, 232706 and 880, that added together give a triangular number (233586 = T₆₈₃).

The spelling of 232706880 in words is "two hundred thirty-two million, seven hundred six thousand, eight hundred eighty".