561497768 has 48 divisors (see below), whose sum is σ = 1179416700. Its totient is φ = 250199040.

The previous prime is 561497737. The next prime is 561497773. The reversal of 561497768 is 867794165.

561497768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2553604 + 558944164 = 1598^2 + 23642^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32048 + ... + 46368.

Almost surely, 2^561497768 is an apocalyptic number.

561497768 is a gapful number since it is divisible by the number (58) 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 561497768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589708350).

561497768 is an abundant number, since it is smaller than the sum of its proper divisors (617918932).

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

561497768 is a wasteful number, since it uses less digits than its factorization.

561497768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14382 (or 14365 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 53.

The square root of 561497768 is about 23695.9441255249. The cubic root of 561497768 is about 824.9912545140.

It can be divided in two parts, 561497 and 768, that added together give a palindrome (562265).

The spelling of 561497768 in words is "five hundred sixty-one million, four hundred ninety-seven thousand, seven hundred sixty-eight".