561363660 has 288 divisors, whose sum is σ = 2028656448. Its totient is φ = 123863040.

The previous prime is 561363659. The next prime is 561363703. The reversal of 561363660 is 66363165.

It is a happy number.

561363660 is a `hidden beast` number, since 5 + 6 + 13 + 636 + 6 + 0 = 666.

561363660 is nontrivially palindromic in base 8.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2908524 + ... + 2908716.

It is an arithmetic number, because the mean of its divisors is an integer number (7043946).

Almost surely, 2^561363660 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 561363660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014328224).

561363660 is an abundant number, since it is smaller than the sum of its proper divisors (1467292788).

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

561363660 is a wasteful number, since it uses less digits than its factorization.

561363660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 561363660 is about 23693.1141895699. The cubic root of 561363660 is about 824.9255690427.

The spelling of 561363660 in words is "five hundred sixty-one million, three hundred sixty-three thousand, six hundred sixty".