561199104 has 240 divisors, whose sum is σ = 1783782000. Its totient is φ = 175177728.

The previous prime is 561199073. The next prime is 561199117. The reversal of 561199104 is 401991165.

561199104 is a `hidden beast` number, since 561 + 1 + 9 + 91 + 0 + 4 = 666.

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 19 ways as a sum of consecutive naturals, for example, 2819997 + ... + 2820195.

It is an arithmetic number, because the mean of its divisors is an integer number (7432425).

Almost surely, 2^561199104 is an apocalyptic number.

561199104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561199104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891891000).

561199104 is an abundant number, since it is smaller than the sum of its proper divisors (1222582896).

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

561199104 is a wasteful number, since it uses less digits than its factorization.

561199104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 561199104 is about 23689.6412805260. The cubic root of 561199104 is about 824.8449559880.

The spelling of 561199104 in words is "five hundred sixty-one million, one hundred ninety-nine thousand, one hundred four".