561626240 has 96 divisors (see below), whose sum is σ = 1561931100. Its totient is φ = 192546816.

The previous prime is 561626239. The next prime is 561626321. The reversal of 561626240 is 42626165.

It can be written as a sum of positive squares in 2 ways, for example, as 555827776 + 5798464 = 23576^2 + 2408^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 561626197 and 561626206.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22406 + ... + 40314.

Almost surely, 2^561626240 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 561626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780965550).

561626240 is an abundant number, since it is smaller than the sum of its proper divisors (1000304860).

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

561626240 is a wasteful number, since it uses less digits than its factorization.

561626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17942 (or 17923 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 561626240 is about 23698.6548141450. The cubic root of 561626240 is about 825.0541696908.

The spelling of 561626240 in words is "five hundred sixty-one million, six hundred twenty-six thousand, two hundred forty".