561268224 has 160 divisors (see below), whose sum is σ = 1812919680. Its totient is φ = 170035200.

The previous prime is 561268217. The next prime is 561268273. The reversal of 561268224 is 422862165.

It is a happy number.

It is a super-2 number, since 2×561268224² = 630044038544228352, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 150219 + ... + 153909.

It is an arithmetic number, because the mean of its divisors is an integer number (11330748).

Almost surely, 2^561268224 is an apocalyptic number.

561268224 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 561268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906459840).

561268224 is an abundant number, since it is smaller than the sum of its proper divisors (1251651456).

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

561268224 is a wasteful number, since it uses less digits than its factorization.

561268224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3707 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 561268224 is about 23691.1001010928. The cubic root of 561268224 is about 824.8788185646.

The spelling of 561268224 in words is "five hundred sixty-one million, two hundred sixty-eight thousand, two hundred twenty-four".