329688954 has 120 divisors (see below), whose sum is σ = 881188308. Its totient is φ = 91808640.

The previous prime is 329688949. The next prime is 329689013. The reversal of 329688954 is 459886923.

It can be written as a sum of positive squares in 2 ways, for example, as 208138329 + 121550625 = 14427^2 + 11025^2 .

It is a super-2 number, since 2×329688954² = 217389612779228232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 329688954.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 324952 + ... + 325964.

Almost surely, 2^329688954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329688954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440594154).

329688954 is an abundant number, since it is smaller than the sum of its proper divisors (551499354).

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

329688954 is a wasteful number, since it uses less digits than its factorization.

329688954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1066 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 329688954 is about 18157.3388468685. The cubic root of 329688954 is about 690.8251376282.

The spelling of 329688954 in words is "three hundred twenty-nine million, six hundred eighty-eight thousand, nine hundred fifty-four".