1205260560 has 480 divisors, whose sum is σ = 5089174272. Its totient is φ = 258785280.

The previous prime is 1205260549. The next prime is 1205260597. The reversal of 1205260560 is 650625021.

1205260560 is a `hidden beast` number, since 1 + 2 + 0 + 52 + 605 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2313100 + ... + 2313620.

Almost surely, 2^1205260560 is an apocalyptic number.

1205260560 is a gapful number since it is divisible by the number (10) 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 1205260560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544587136).

1205260560 is an abundant number, since it is smaller than the sum of its proper divisors (3883913712).

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

1205260560 is a wasteful number, since it uses less digits than its factorization.

1205260560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1205260560 is about 34716.8627614881. The cubic root of 1205260560 is about 1064.2091331428.

Adding to 1205260560 its reverse (650625021), we get a palindrome (1855885581).

The spelling of 1205260560 in words is "one billion, two hundred five million, two hundred sixty thousand, five hundred sixty".