561272544 has 384 divisors, whose sum is σ = 2037934080. Its totient is φ = 146644992.

The previous prime is 561272533. The next prime is 561272549. The reversal of 561272544 is 445272165.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 561272499 and 561272508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561272549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5449197 + ... + 5449299.

It is an arithmetic number, because the mean of its divisors is an integer number (5307120).

Almost surely, 2^561272544 is an apocalyptic number.

561272544 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 561272544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018967040).

561272544 is an abundant number, since it is smaller than the sum of its proper divisors (1476661536).

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

561272544 is a wasteful number, since it uses less digits than its factorization.

561272544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 561272544 is about 23691.1912743956. The cubic root of 561272544 is about 824.8809348833.

The spelling of 561272544 in words is "five hundred sixty-one million, two hundred seventy-two thousand, five hundred forty-four".