329145120 has 240 divisors, whose sum is σ = 1177296120. Its totient is φ = 86593536.

The previous prime is 329145107. The next prime is 329145133. The reversal of 329145120 is 21541923.

It is an interprime number because it is at equal distance from previous prime (329145107) and next prime (329145133).

It can be written as a sum of positive squares in 4 ways, for example, as 247495824 + 81649296 = 15732^2 + 9036^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1412524 + ... + 1412756.

Almost surely, 2^329145120 is an apocalyptic number.

329145120 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 329145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588648060).

329145120 is an abundant number, since it is smaller than the sum of its proper divisors (848151000).

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

329145120 is a wasteful number, since it uses less digits than its factorization.

329145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 329145120 is about 18142.3570684738. The cubic root of 329145120 is about 690.4450814605.

The spelling of 329145120 in words is "three hundred twenty-nine million, one hundred forty-five thousand, one hundred twenty".