56561736 has 128 divisors (see below), whose sum is σ = 178421760. Its totient is φ = 14515200.

The previous prime is 56561723. The next prime is 56561749. The reversal of 56561736 is 63716565.

It is an interprime number because it is at equal distance from previous prime (56561723) and next prime (56561749).

It is a junction number, because it is equal to n+sod(n) for n = 56561694 and 56561703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234576 + ... + 234816.

It is an arithmetic number, because the mean of its divisors is an integer number (1393920).

Almost surely, 2^56561736 is an apocalyptic number.

56561736 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 56561736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89210880).

56561736 is an abundant number, since it is smaller than the sum of its proper divisors (121860024).

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

56561736 is a wasteful number, since it uses less digits than its factorization.

56561736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its digits is 113400, while the sum is 39.

The square root of 56561736 is about 7520.7536856355. The cubic root of 56561736 is about 383.8612237243.

The spelling of 56561736 in words is "fifty-six million, five hundred sixty-one thousand, seven hundred thirty-six".