331681560 has 128 divisors (see below), whose sum is σ = 1204139520. Its totient is φ = 71350272.

The previous prime is 331681549. The next prime is 331681591. The reversal of 331681560 is 65186133.

It is a super-3 number, since 3×331681560³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2667 + ... + 25893.

It is an arithmetic number, because the mean of its divisors is an integer number (9407340).

Almost surely, 2^331681560 is an apocalyptic number.

331681560 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 331681560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602069760).

331681560 is an abundant number, since it is smaller than the sum of its proper divisors (872457960).

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

331681560 is a wasteful number, since it uses less digits than its factorization.

331681560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23265 (or 23261 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 331681560 is about 18212.1267291879. The cubic root of 331681560 is about 692.2141017264.

The spelling of 331681560 in words is "three hundred thirty-one million, six hundred eighty-one thousand, five hundred sixty".