331780608 has 120 divisors (see below), whose sum is σ = 969497100. Its totient is φ = 109215744.

The previous prime is 331780607. The next prime is 331780711. The reversal of 331780608 is 806087133.

331780608 is a `hidden beast` number, since 33 + 17 + 8 + 0 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 330948864 + 831744 = 18192^2 + 912^2 .

It is a super-2 number, since 2×331780608² = 220156743689699328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (331780607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409708 + ... + 410516.

Almost surely, 2^331780608 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 331780608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484748550).

331780608 is an abundant number, since it is smaller than the sum of its proper divisors (637716492).

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

331780608 is an equidigital number, since it uses as much as digits as its factorization.

331780608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 331780608 is about 18214.8458132371. The cubic root of 331780608 is about 692.2829987318.

The spelling of 331780608 in words is "three hundred thirty-one million, seven hundred eighty thousand, six hundred eight".