566246880 has 144 divisors (see below), whose sum is σ = 2046071664. Its totient is φ = 142110720.

The previous prime is 566246861. The next prime is 566246881. The reversal of 566246880 is 88642665.

566246880 is a `hidden beast` number, since 56 + 62 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (566246881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12915 + ... + 36045.

It is an arithmetic number, because the mean of its divisors is an integer number (14208831).

Almost surely, 2^566246880 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 566246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023035832).

566246880 is an abundant number, since it is smaller than the sum of its proper divisors (1479824784).

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

566246880 is a wasteful number, since it uses less digits than its factorization.

566246880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23169 (or 23158 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 566246880 is about 23795.9425112770. The cubic root of 566246880 is about 827.3106353474.

It can be divided in two parts, 56624 and 6880, that added together give a square (63504 = 252²).

The spelling of 566246880 in words is "five hundred sixty-six million, two hundred forty-six thousand, eight hundred eighty".