560177772 has 96 divisors (see below), whose sum is σ = 1664409600. Its totient is φ = 142393920.

The previous prime is 560177753. The next prime is 560177773. The reversal of 560177772 is 277771065.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (560177773) by changing a digit.

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, 36979 + ... + 49877.

It is an arithmetic number, because the mean of its divisors is an integer number (17337600).

Almost surely, 2^560177772 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 560177772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832204800).

560177772 is an abundant number, since it is smaller than the sum of its proper divisors (1104231828).

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

560177772 is a wasteful number, since it uses less digits than its factorization.

560177772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12971 (or 12969 counting only the distinct ones).

The product of its (nonzero) digits is 144060, while the sum is 42.

The square root of 560177772 is about 23668.0749534051. The cubic root of 560177772 is about 824.3442708686.

The spelling of 560177772 in words is "five hundred sixty million, one hundred seventy-seven thousand, seven hundred seventy-two".