330996640 has 72 divisors (see below), whose sum is σ = 846828108. Its totient is φ = 122204160.

The previous prime is 330996629. The next prime is 330996661. The reversal of 330996640 is 46699033.

It can be written as a sum of positive squares in 6 ways, for example, as 12588304 + 318408336 = 3548^2 + 17844^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 330996593 and 330996602.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20920 + ... + 33160.

Almost surely, 2^330996640 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 330996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423414054).

330996640 is an abundant number, since it is smaller than the sum of its proper divisors (515831468).

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

330996640 is a wasteful number, since it uses less digits than its factorization.

330996640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12282 (or 12261 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 40.

The square root of 330996640 is about 18193.3130572746. The cubic root of 330996640 is about 691.7373010234.

The spelling of 330996640 in words is "three hundred thirty million, nine hundred ninety-six thousand, six hundred forty".