560892240 has 120 divisors (see below), whose sum is σ = 1905045480. Its totient is φ = 147873792.

The previous prime is 560892239. The next prime is 560892247. The reversal of 560892240 is 42298065.

It is a happy number.

560892240 is a `hidden beast` number, since 5 + 608 + 9 + 2 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71774784 + 489117456 = 8472^2 + 22116^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 560892195 and 560892204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560892247) 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, 59704 + ... + 68456.

It is an arithmetic number, because the mean of its divisors is an integer number (15875379).

Almost surely, 2^560892240 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 560892240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952522740).

560892240 is an abundant number, since it is smaller than the sum of its proper divisors (1344153240).

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

560892240 is a wasteful number, since it uses less digits than its factorization.

560892240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8861 (or 8852 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 560892240 is about 23683.1636400207. The cubic root of 560892240 is about 824.6945866751.

The spelling of 560892240 in words is "five hundred sixty million, eight hundred ninety-two thousand, two hundred forty".