561549120 has 224 divisors, whose sum is σ = 1993977216. Its totient is φ = 132710400.

The previous prime is 561549089. The next prime is 561549137. The reversal of 561549120 is 21945165.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432312 + ... + 433608.

It is an arithmetic number, because the mean of its divisors is an integer number (8901684).

Almost surely, 2^561549120 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 561549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996988608).

561549120 is an abundant number, since it is smaller than the sum of its proper divisors (1432428096).

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

561549120 is a wasteful number, since it uses less digits than its factorization.

561549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 561549120 is about 23697.0276617132. The cubic root of 561549120 is about 825.0164037142.

The spelling of 561549120 in words is "five hundred sixty-one million, five hundred forty-nine thousand, one hundred twenty".