232626816 has 144 divisors (see below), whose sum is σ = 697628490. Its totient is φ = 77262336.

The previous prime is 232626809. The next prime is 232626841. The reversal of 232626816 is 618626232.

232626816 is a `hidden beast` number, since 23 + 2 + 626 + 8 + 1 + 6 = 666.

232626816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 222129216 + 10497600 = 14904^2 + 3240^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 839670 + ... + 839946.

Almost surely, 2^232626816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232626816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348814245).

232626816 is an abundant number, since it is smaller than the sum of its proper divisors (465001674).

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

232626816 is an frugal number, since it uses more digits than its factorization.

232626816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 282 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 232626816 is about 15252.1085755380. The cubic root of 232626816 is about 615.0162518013.

The spelling of 232626816 in words is "two hundred thirty-two million, six hundred twenty-six thousand, eight hundred sixteen".