556106742 has 64 divisors (see below), whose sum is σ = 1311552000. Its totient is φ = 174281184.

The previous prime is 556106741. The next prime is 556106743. The reversal of 556106742 is 247601655.

It is a happy number.

556106742 is a `hidden beast` number, since 556 + 1 + 0 + 67 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (556106741) and next prime (556106743).

It is a junction number, because it is equal to n+sod(n) for n = 556106697 and 556106706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556106741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69484 + ... + 77072.

It is an arithmetic number, because the mean of its divisors is an integer number (20493000).

Almost surely, 2^556106742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556106742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655776000).

556106742 is an abundant number, since it is smaller than the sum of its proper divisors (755445258).

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

556106742 is a wasteful number, since it uses less digits than its factorization.

556106742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7682 (or 7676 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 556106742 is about 23581.9155710472. The cubic root of 556106742 is about 822.3424701158.

The spelling of 556106742 in words is "five hundred fifty-six million, one hundred six thousand, seven hundred forty-two".