331706820 has 96 divisors (see below), whose sum is σ = 966389760. Its totient is φ = 84919680.

The previous prime is 331706747. The next prime is 331706821. The reversal of 331706820 is 28607133.

It is a super-2 number, since 2×331706820² = 220058828869024800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (331706821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257899 + ... + 259181.

It is an arithmetic number, because the mean of its divisors is an integer number (10066560).

Almost surely, 2^331706820 is an apocalyptic number.

331706820 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 331706820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483194880).

331706820 is an abundant number, since it is smaller than the sum of its proper divisors (634682940).

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

331706820 is a wasteful number, since it uses less digits than its factorization.

331706820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 331706820 is about 18212.8202099510. The cubic root of 331706820 is about 692.2316736854.

The spelling of 331706820 in words is "three hundred thirty-one million, seven hundred six thousand, eight hundred twenty".