331080768 has 168 divisors, whose sum is σ = 1007717568. Its totient is φ = 103707648.

The previous prime is 331080767. The next prime is 331080829. The reversal of 331080768 is 867080133.

It is a super-2 number, since 2×331080768² = 219228949878939648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (331080767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 887430 + ... + 887802.

Almost surely, 2^331080768 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 331080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503858784).

331080768 is an abundant number, since it is smaller than the sum of its proper divisors (676636800).

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

331080768 is a wasteful number, since it uses less digits than its factorization.

331080768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 331080768 is about 18195.6249686566. The cubic root of 331080768 is about 691.7959013625.

It can be divided in two parts, 33 and 1080768, that added together give a palindrome (1080801).

The spelling of 331080768 in words is "three hundred thirty-one million, eighty thousand, seven hundred sixty-eight".