560313936 has 200 divisors, whose sum is σ = 1996372224. Its totient is φ = 147744000.

The previous prime is 560313911. The next prime is 560313961. The reversal of 560313936 is 639313065.

560313936 is a `hidden beast` number, since 5 + 603 + 13 + 9 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (560313911) and next prime (560313961).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 560313936.

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 39 ways as a sum of consecutive naturals, for example, 115561 + ... + 120311.

Almost surely, 2^560313936 is an apocalyptic number.

560313936 is a gapful number since it is divisible by the number (56) 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 560313936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998186112).

560313936 is an abundant number, since it is smaller than the sum of its proper divisors (1436058288).

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

560313936 is a wasteful number, since it uses less digits than its factorization.

560313936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4791 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 560313936 is about 23670.9513116816. The cubic root of 560313936 is about 824.4110573576.

The spelling of 560313936 in words is "five hundred sixty million, three hundred thirteen thousand, nine hundred thirty-six".