331008768 has 216 divisors, whose sum is σ = 1051294608. Its totient is φ = 103514112.

The previous prime is 331008767. The next prime is 331008781. The reversal of 331008768 is 867800133.

It is a tau number, because it is divible by the number of its divisors (216).

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 (331008767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1057380 + ... + 1057692.

Almost surely, 2^331008768 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 331008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525647304).

331008768 is an abundant number, since it is smaller than the sum of its proper divisors (720285840).

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

331008768 is an equidigital number, since it uses as much as digits as its factorization.

331008768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 335 counting only the distinct ones).

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

The square root of 331008768 is about 18193.6463634973. The cubic root of 331008768 is about 691.7457495357.

It can be divided in two parts, 331008 and 768, that added together give a 4-th power (331776 = 24⁴).

The spelling of 331008768 in words is "three hundred thirty-one million, eight thousand, seven hundred sixty-eight".