561762680 has 64 divisors (see below), whose sum is σ = 1286064000. Its totient is φ = 220806144.

The previous prime is 561762673. The next prime is 561762701. The reversal of 561762680 is 86267165.

561762680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1229012 + ... + 1229468.

It is an arithmetic number, because the mean of its divisors is an integer number (20094750).

Almost surely, 2^561762680 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 561762680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643032000).

561762680 is an abundant number, since it is smaller than the sum of its proper divisors (724301320).

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

561762680 is a wasteful number, since it uses less digits than its factorization.

561762680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 561762680 is about 23701.5332837350. The cubic root of 561762680 is about 825.1209764436.

The spelling of 561762680 in words is "five hundred sixty-one million, seven hundred sixty-two thousand, six hundred eighty".