560951820 has 576 divisors, whose sum is σ = 2230824960. Its totient is φ = 111974400.

The previous prime is 560951803. The next prime is 560951821. The reversal of 560951820 is 28159065.

It is a happy number.

560951820 is a `hidden beast` number, since 560 + 95 + 1 + 8 + 2 + 0 = 666.

It is a super-2 number, since 2×560951820² = 629333888722624800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (560951821) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15160842 + ... + 15160878.

It is an arithmetic number, because the mean of its divisors is an integer number (3872960).

Almost surely, 2^560951820 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 560951820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115412480).

560951820 is an abundant number, since it is smaller than the sum of its proper divisors (1669873140).

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

560951820 is a wasteful number, since it uses less digits than its factorization.

560951820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 560951820 is about 23684.4214622186. The cubic root of 560951820 is about 824.7237863206.

The spelling of 560951820 in words is "five hundred sixty million, nine hundred fifty-one thousand, eight hundred twenty".