561418368 has 128 divisors (see below), whose sum is σ = 1712163840. Its totient is φ = 159667200.

The previous prime is 561418313. The next prime is 561418381. The reversal of 561418368 is 863814165.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 889413 + ... + 890043.

It is an arithmetic number, because the mean of its divisors is an integer number (13376280).

Almost surely, 2^561418368 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 561418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856081920).

561418368 is an abundant number, since it is smaller than the sum of its proper divisors (1150745472).

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

561418368 is a wasteful number, since it uses less digits than its factorization.

561418368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 974 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 561418368 is about 23694.2686740908. The cubic root of 561418368 is about 824.9523660285.

The spelling of 561418368 in words is "five hundred sixty-one million, four hundred eighteen thousand, three hundred sixty-eight".