561240064 has 96 divisors (see below), whose sum is σ = 1399507200. Its totient is φ = 218603520.

The previous prime is 561240061. The next prime is 561240083. The reversal of 561240064 is 460042165.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561240061) 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 7 ways as a sum of consecutive naturals, for example, 155917 + ... + 159475.

It is an arithmetic number, because the mean of its divisors is an integer number (14578200).

Almost surely, 2^561240064 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 561240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699753600).

561240064 is an abundant number, since it is smaller than the sum of its proper divisors (838267136).

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

561240064 is a wasteful number, since it uses less digits than its factorization.

561240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 561240064 is about 23690.5057776317. The cubic root of 561240064 is about 824.8650230357.

The spelling of 561240064 in words is "five hundred sixty-one million, two hundred forty thousand, sixty-four".