331620048 has 80 divisors (see below), whose sum is σ = 977645760. Its totient is φ = 107547264.

The previous prime is 331620043. The next prime is 331620089. The reversal of 331620048 is 840026133.

It is a happy number.

331620048 is a `hidden beast` number, since 3 + 31 + 620 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331620043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5611 + ... + 26357.

It is an arithmetic number, because the mean of its divisors is an integer number (12220572).

Almost surely, 2^331620048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331620048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488822880).

331620048 is an abundant number, since it is smaller than the sum of its proper divisors (646025712).

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

331620048 is a wasteful number, since it uses less digits than its factorization.

331620048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20801 (or 20789 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 331620048 is about 18210.4378860037. The cubic root of 331620048 is about 692.1713075613.

The spelling of 331620048 in words is "three hundred thirty-one million, six hundred twenty thousand, forty-eight".