564126240 has 96 divisors (see below), whose sum is σ = 1802134656. Its totient is φ = 148305920.

The previous prime is 564126239. The next prime is 564126247. The reversal of 564126240 is 42621465.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 564126198 and 564126207.

It is not an unprimeable number, because it can be changed into a prime (564126247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25804 + ... + 42356.

It is an arithmetic number, because the mean of its divisors is an integer number (18772236).

Almost surely, 2^564126240 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 564126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901067328).

564126240 is an abundant number, since it is smaller than the sum of its proper divisors (1238008416).

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

564126240 is a wasteful number, since it uses less digits than its factorization.

564126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16642 (or 16634 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 564126240 is about 23751.3418568299. The cubic root of 564126240 is about 826.2765618046.

The spelling of 564126240 in words is "five hundred sixty-four million, one hundred twenty-six thousand, two hundred forty".