330025680 has 120 divisors (see below), whose sum is σ = 1117116000. Its totient is φ = 87310080.

The previous prime is 330025669. The next prime is 330025691. The reversal of 330025680 is 86520033.

330025680 is a `hidden beast` number, since 330 + 0 + 256 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (330025669) and next prime (330025691).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92571 + ... + 96069.

It is an arithmetic number, because the mean of its divisors is an integer number (9309300).

Almost surely, 2^330025680 is an apocalyptic number.

330025680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330025680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558558000).

330025680 is an abundant number, since it is smaller than the sum of its proper divisors (787090320).

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

330025680 is a wasteful number, since it uses less digits than its factorization.

330025680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 330025680 is about 18166.6089295719. The cubic root of 330025680 is about 691.0602477552.

The spelling of 330025680 in words is "three hundred thirty million, twenty-five thousand, six hundred eighty".