331168320 has 168 divisors, whose sum is σ = 1301886144. Its totient is φ = 75691008.

The previous prime is 331168301. The next prime is 331168339. The reversal of 331168320 is 23861133.

It is a happy number.

331168320 is a `hidden beast` number, since 331 + 1 + 6 + 8 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (331168301) and next prime (331168339).

It is a tau number, because it is divible by the number of its divisors (168).

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, 11947 + ... + 28373.

Almost surely, 2^331168320 is an apocalyptic number.

331168320 is a gapful number since it is divisible by the number (30) 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 331168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650943072).

331168320 is an abundant number, since it is smaller than the sum of its proper divisors (970717824).

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

331168320 is a wasteful number, since it uses less digits than its factorization.

331168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16457 (or 16444 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 331168320 is about 18198.0306626844. The cubic root of 331168320 is about 691.8568761884.

It can be divided in two parts, 3311 and 68320, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 331168320 in words is "three hundred thirty-one million, one hundred sixty-eight thousand, three hundred twenty".