331620000 has 120 divisors (see below), whose sum is σ = 1087976736. Its totient is φ = 88416000.

The previous prime is 331619983. The next prime is 331620007. The reversal of 331620000 is 26133.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (331620007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57237 + ... + 62763.

Almost surely, 2^331620000 is an apocalyptic number.

331620000 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 331620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543988368).

331620000 is an abundant number, since it is smaller than the sum of its proper divisors (756356736).

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

331620000 is an equidigital number, since it uses as much as digits as its factorization.

331620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5560 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 331620000 is about 18210.4365680782. The cubic root of 331620000 is about 692.1712741654.

Adding to 331620000 its reverse (26133), we get a palindrome (331646133).

The spelling of 331620000 in words is "three hundred thirty-one million, six hundred twenty thousand".