331947648 has 96 divisors (see below), whose sum is σ = 960806340. Its totient is φ = 110002176.

The previous prime is 331947641. The next prime is 331947667. The reversal of 331947648 is 846749133.

It can be written as a sum of positive squares in 2 ways, for example, as 330076224 + 1871424 = 18168^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×331947648² = 220378482025463808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331947641) 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, 221590 + ... + 223082.

Almost surely, 2^331947648 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 331947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480403170).

331947648 is an abundant number, since it is smaller than the sum of its proper divisors (628858692).

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

331947648 is a wasteful number, since it uses less digits than its factorization.

331947648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1691 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 331947648 is about 18219.4305070164. The cubic root of 331947648 is about 692.3991593793.

The spelling of 331947648 in words is "three hundred thirty-one million, nine hundred forty-seven thousand, six hundred forty-eight".