331506648 has 192 divisors, whose sum is σ = 1042070400. Its totient is φ = 96825600.

The previous prime is 331506641. The next prime is 331506649. The reversal of 331506648 is 846605133.

331506648 is a `hidden beast` number, since 3 + 3 + 1 + 5 + 0 + 6 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331506641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3994015 + ... + 3994097.

It is an arithmetic number, because the mean of its divisors is an integer number (5427450).

Almost surely, 2^331506648 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 331506648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521035200).

331506648 is an abundant number, since it is smaller than the sum of its proper divisors (710563752).

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

331506648 is a wasteful number, since it uses less digits than its factorization.

331506648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 331506648 is about 18207.3240208439. The cubic root of 331506648 is about 692.0924008170.

The spelling of 331506648 in words is "three hundred thirty-one million, five hundred six thousand, six hundred forty-eight".