556681312 has 72 divisors (see below), whose sum is σ = 1216630800. Its totient is φ = 250525440.

The previous prime is 556681273. The next prime is 556681339. The reversal of 556681312 is 213186655.

It is a super-3 number, since 3×556681312³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421389 + ... + 422707.

It is an arithmetic number, because the mean of its divisors is an integer number (16897650).

Almost surely, 2^556681312 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 556681312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608315400).

556681312 is an abundant number, since it is smaller than the sum of its proper divisors (659949488).

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

556681312 is a wasteful number, since it uses less digits than its factorization.

556681312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1441 counting only the distinct ones).

The product of its digits is 43200, while the sum is 37.

The square root of 556681312 is about 23594.0948544334. The cubic root of 556681312 is about 822.6255876325.

The spelling of 556681312 in words is "five hundred fifty-six million, six hundred eighty-one thousand, three hundred twelve".