331168644 has 72 divisors (see below), whose sum is σ = 867517560. Its totient is φ = 106444800.

The previous prime is 331168639. The next prime is 331168703. The reversal of 331168644 is 446861133.

It is a happy number.

331168644 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 6 + 8 + 644 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58522500 + 272646144 = 7650^2 + 16512^2 .

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 = 331168599 and 331168608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130104 + ... + 132624.

It is an arithmetic number, because the mean of its divisors is an integer number (12048855).

Almost surely, 2^331168644 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 331168644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433758780).

331168644 is an abundant number, since it is smaller than the sum of its proper divisors (536348916).

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

331168644 is a wasteful number, since it uses less digits than its factorization.

331168644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661 (or 2656 counting only the distinct ones).

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

The square root of 331168644 is about 18198.0395647443. The cubic root of 331168644 is about 691.8571018154.

The spelling of 331168644 in words is "three hundred thirty-one million, one hundred sixty-eight thousand, six hundred forty-four".