329676648 has 128 divisors (see below), whose sum is σ = 1009324800. Its totient is φ = 87588864.

The previous prime is 329676637. The next prime is 329676667. The reversal of 329676648 is 846676923.

It is a happy number.

It is a Cunningham number, because it is equal to 18157²-1.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 329676648.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253536 + ... + 254832.

It is an arithmetic number, because the mean of its divisors is an integer number (7885350).

Almost surely, 2^329676648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329676648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504662400).

329676648 is an abundant number, since it is smaller than the sum of its proper divisors (679648152).

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

329676648 is a wasteful number, since it uses less digits than its factorization.

329676648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1415 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 329676648 is about 18156.9999724624. Note that the first 4 decimals coincide. The cubic root of 329676648 is about 690.8165422539.

The spelling of 329676648 in words is "three hundred twenty-nine million, six hundred seventy-six thousand, six hundred forty-eight".