329996160 has 384 divisors, whose sum is σ = 1276754400. Its totient is φ = 80510976.

The previous prime is 329996141. The next prime is 329996171. The reversal of 329996160 is 61699923.

It is a happy number.

329996160 is a `hidden beast` number, since 3 + 29 + 9 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×329996160² = 217794931229491200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2920264 + ... + 2920376.

Almost surely, 2^329996160 is an apocalyptic number.

329996160 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 329996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638377200).

329996160 is an abundant number, since it is smaller than the sum of its proper divisors (946758240).

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

329996160 is a wasteful number, since it uses less digits than its factorization.

329996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 329996160 is about 18165.7964317560. The cubic root of 329996160 is about 691.0396425841.

The spelling of 329996160 in words is "three hundred twenty-nine million, nine hundred ninety-six thousand, one hundred sixty".