561128672 has 144 divisors (see below), whose sum is σ = 1298626560. Its totient is φ = 237758976.

The previous prime is 561128671. The next prime is 561128681. The reversal of 561128672 is 276821165.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561128671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4418273 + ... + 4418399.

It is an arithmetic number, because the mean of its divisors is an integer number (9018240).

Almost surely, 2^561128672 is an apocalyptic number.

561128672 is a gapful number since it is divisible by the number (52) 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 561128672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649313280).

561128672 is an abundant number, since it is smaller than the sum of its proper divisors (737497888).

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

561128672 is a wasteful number, since it uses less digits than its factorization.

561128672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 561128672 is about 23688.1546769688. The cubic root of 561128672 is about 824.8104477894.

The spelling of 561128672 in words is "five hundred sixty-one million, one hundred twenty-eight thousand, six hundred seventy-two".