56355642 has 128 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 15095808.

The previous prime is 56355623. The next prime is 56355647. The reversal of 56355642 is 24655365.

It is a happy number.

56355642 is a `hidden beast` number, since 5 + 6 + 3 + 5 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56355597 and 56355606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56355647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 580938 + ... + 581034.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 2^56355642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56355642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

56355642 is an abundant number, since it is smaller than the sum of its proper divisors (96053958).

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

56355642 is a wasteful number, since it uses less digits than its factorization.

56355642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 56355642 is about 7507.0394963661. The cubic root of 56355642 is about 383.3944312611.

The spelling of 56355642 in words is "fifty-six million, three hundred fifty-five thousand, six hundred forty-two".