561749760 has 648 divisors, whose sum is σ = 2374899072. Its totient is φ = 121651200.

The previous prime is 561749707. The next prime is 561749761. The reversal of 561749760 is 67947165.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561749761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18120945 + ... + 18120975.

Almost surely, 2^561749760 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 561749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187449536).

561749760 is an abundant number, since it is smaller than the sum of its proper divisors (1813149312).

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

561749760 is a wasteful number, since it uses less digits than its factorization.

561749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 561749760 is about 23701.2607259614. The cubic root of 561749760 is about 825.1146507328.

The spelling of 561749760 in words is "five hundred sixty-one million, seven hundred forty-nine thousand, seven hundred sixty".