1205764560 has 720 divisors, whose sum is σ = 5557144320. Its totient is φ = 230307840.

The previous prime is 1205764519. The next prime is 1205764577. The reversal of 1205764560 is 654675021.

It is a happy number.

1205764560 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 7 + 645 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5044921 + ... + 5045159.

It is an arithmetic number, because the mean of its divisors is an integer number (7718256).

Almost surely, 2^1205764560 is an apocalyptic number.

1205764560 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 1205764560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778572160).

1205764560 is an abundant number, since it is smaller than the sum of its proper divisors (4351379760).

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

1205764560 is a wasteful number, since it uses less digits than its factorization.

1205764560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1205764560 is about 34724.1207232091. The cubic root of 1205764560 is about 1064.3574514610.

The spelling of 1205764560 in words is "one billion, two hundred five million, seven hundred sixty-four thousand, five hundred sixty".