331220008 has 64 divisors (see below), whose sum is σ = 762480000. Its totient is φ = 134459136.

The previous prime is 331219979. The next prime is 331220009. The reversal of 331220008 is 800022133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (331220009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48960 + ... + 55312.

It is an arithmetic number, because the mean of its divisors is an integer number (11913750).

Almost surely, 2^331220008 is an apocalyptic number.

331220008 is a gapful number since it is divisible by the number (38) 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 331220008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381240000).

331220008 is an abundant number, since it is smaller than the sum of its proper divisors (431259992).

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

331220008 is a wasteful number, since it uses less digits than its factorization.

331220008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6399 (or 6381 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 331220008 is about 18199.4507609433. The cubic root of 331220008 is about 691.8928687998.

The spelling of 331220008 in words is "three hundred thirty-one million, two hundred twenty thousand, eight".