329970 has 32 divisors (see below), whose sum is σ = 839808. Its totient is φ = 82688.

The previous prime is 329969. The next prime is 329977. The reversal of 329970 is 79923.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (329977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (26244).

2³²⁹⁹⁷⁰ is an apocalyptic number.

329970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 329970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419904).

329970 is an abundant number, since it is smaller than the sum of its proper divisors (509838).

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

329970 is a wasteful number, since it uses less digits than its factorization.

329970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674.

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 329970 is about 574.4301524119. The cubic root of 329970 is about 69.1021381690.

Subtracting from 329970 its reverse (79923), we obtain a cube (250047 = 63³).

The spelling of 329970 in words is "three hundred twenty-nine thousand, nine hundred seventy".