561208640 has 28 divisors (see below), whose sum is σ = 1336378836. Its totient is φ = 224483328.

The previous prime is 561208631. The next prime is 561208657. The reversal of 561208640 is 46802165.

561208640 is digitally balanced in base 6, 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 2 ways, for example, as 361608256 + 199600384 = 19016^2 + 14128^2 .

It is a super-3 number, since 3×561208640³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 561208597 and 561208606.

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 3 ways as a sum of consecutive naturals, for example, 876569 + ... + 877208.

Almost surely, 2^561208640 is an apocalyptic number.

It is an amenable number.

561208640 is an abundant number, since it is smaller than the sum of its proper divisors (775170196).

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

561208640 is a wasteful number, since it uses less digits than its factorization.

561208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753794 (or 1753784 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 561208640 is about 23689.8425490758. The cubic root of 561208640 is about 824.8496279348.

The spelling of 561208640 in words is "five hundred sixty-one million, two hundred eight thousand, six hundred forty".