329648 has 20 divisors (see below), whose sum is σ = 697128. Its totient is φ = 149760.

The previous prime is 329639. The next prime is 329657. The reversal of 329648 is 846923.

It is an interprime number because it is at equal distance from previous prime (329639) and next prime (329657).

It is a d-powerful number, because it can be written as 3⁷ + 2¹³ + 6⁷ + 9⁴ + 4 + 8⁵ .

It is an unprimeable number.

329648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 761 + ... + 1112.

2³²⁹⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

329648 is an abundant number, since it is smaller than the sum of its proper divisors (367480).

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

329648 is a wasteful number, since it uses less digits than its factorization.

329648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1886 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 329648 is about 574.1498062353. The cubic root of 329648 is about 69.0796531651.

The spelling of 329648 in words is "three hundred twenty-nine thousand, six hundred forty-eight".