561060000 has 240 divisors, whose sum is σ = 2046844800. Its totient is φ = 149472000.

The previous prime is 561059981. The next prime is 561060007. The reversal of 561060000 is 60165.

561060000 is a `hidden beast` number, since 5 + 61 + 0 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (561060007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 539481 + ... + 540519.

It is an arithmetic number, because the mean of its divisors is an integer number (8528520).

Almost surely, 2^561060000 is an apocalyptic number.

561060000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023422400).

561060000 is an abundant number, since it is smaller than the sum of its proper divisors (1485784800).

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

561060000 is a wasteful number, since it uses less digits than its factorization.

561060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 561060000 is about 23686.7051317823. The cubic root of 561060000 is about 824.7767991234.

The spelling of 561060000 in words is "five hundred sixty-one million, sixty thousand".