561604680 has 576 divisors, whose sum is σ = 2390169600. Its totient is φ = 113218560.

The previous prime is 561604651. The next prime is 561604699. The reversal of 561604680 is 86406165.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7108881 + ... + 7108959.

It is an arithmetic number, because the mean of its divisors is an integer number (4149600).

Almost surely, 2^561604680 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 561604680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195084800).

561604680 is an abundant number, since it is smaller than the sum of its proper divisors (1828564920).

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

561604680 is a wasteful number, since it uses less digits than its factorization.

561604680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 561604680 is about 23698.1999316404. The cubic root of 561604680 is about 825.0436120196.

It can be divided in two parts, 56 and 1604680, that added together give a triangular number (1604736 = T₁₇₉₁).

The spelling of 561604680 in words is "five hundred sixty-one million, six hundred four thousand, six hundred eighty".