330861120 has 112 divisors (see below), whose sum is σ = 1060630848. Its totient is φ = 87377920.

The previous prime is 330861119. The next prime is 330861121. The reversal of 330861120 is 21168033.

It is an interprime number because it is at equal distance from previous prime (330861119) and next prime (330861121).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (330861121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101110 + ... + 104330.

Almost surely, 2^330861120 is an apocalyptic number.

330861120 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 330861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530315424).

330861120 is an abundant number, since it is smaller than the sum of its proper divisors (729769728).

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

330861120 is a wasteful number, since it uses less digits than its factorization.

330861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 330861120 is about 18189.5882306335. The cubic root of 330861120 is about 691.6428821034.

The spelling of 330861120 in words is "three hundred thirty million, eight hundred sixty-one thousand, one hundred twenty".