329616 has 80 divisors (see below), whose sum is σ = 1091200. Its totient is φ = 93312.

The previous prime is 329603. The next prime is 329617. The reversal of 329616 is 616923.

329616 = 33³ + 34³ + ... + 39³.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 329616.

It is not an unprimeable number, because it can be changed into a prime (329617) by changing a digit.

329616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2970 + ... + 3078.

It is an arithmetic number, because the mean of its divisors is an integer number (13640).

2³²⁹⁶¹⁶ is an apocalyptic number.

329616 is a gapful number since it is divisible by the number (36) 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 329616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545600).

329616 is an abundant number, since it is smaller than the sum of its proper divisors (761584).

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

329616 is a wasteful number, since it uses less digits than its factorization.

329616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 329616 is about 574.1219382675. The cubic root of 329616 is about 69.0774178308.

The spelling of 329616 in words is "three hundred twenty-nine thousand, six hundred sixteen".