561371040 has 192 divisors, whose sum is σ = 1977696000. Its totient is φ = 148718592.

The previous prime is 561371023. The next prime is 561371047. The reversal of 561371040 is 40173165.

561371040 is a `hidden beast` number, since 5 + 613 + 7 + 1 + 0 + 40 = 666.

561371040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 561370995 and 561371013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561371047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859354 + ... + 860006.

It is an arithmetic number, because the mean of its divisors is an integer number (10300500).

Almost surely, 2^561371040 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 561371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988848000).

561371040 is an abundant number, since it is smaller than the sum of its proper divisors (1416324960).

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

561371040 is a wasteful number, since it uses less digits than its factorization.

561371040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 561371040 is about 23693.2699305098. The cubic root of 561371040 is about 824.9291840041.

The spelling of 561371040 in words is "five hundred sixty-one million, three hundred seventy-one thousand, forty".