330067920 has 480 divisors, whose sum is σ = 1367912448. Its totient is φ = 65028096.

The previous prime is 330067919. The next prime is 330067921. The reversal of 330067920 is 29760033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (330067919) and next prime (330067921).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330067921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2598897 + ... + 2599023.

Almost surely, 2^330067920 is an apocalyptic number.

330067920 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 330067920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683956224).

330067920 is an abundant number, since it is smaller than the sum of its proper divisors (1037844528).

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

330067920 is a wasteful number, since it uses less digits than its factorization.

330067920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 330067920 is about 18167.7714648770. The cubic root of 330067920 is about 691.0897294404.

The spelling of 330067920 in words is "three hundred thirty million, sixty-seven thousand, nine hundred twenty".