1260864000 has 480 divisors, whose sum is σ = 4979145600. Its totient is φ = 304128000.

The previous prime is 1260863999. The next prime is 1260864029. The reversal of 1260864000 is 4680621.

1260864000 is a `hidden beast` number, since 12 + 6 + 0 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6335901 + ... + 6336099.

It is an arithmetic number, because the mean of its divisors is an integer number (10373220).

Almost surely, 2^1260864000 is an apocalyptic number.

1260864000 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 1260864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489572800).

1260864000 is an abundant number, since it is smaller than the sum of its proper divisors (3718281600).

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

1260864000 is a wasteful number, since it uses less digits than its factorization.

1260864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1260864000 is about 35508.6468342571. The cubic root of 1260864000 is about 1080.3291178019.

The spelling of 1260864000 in words is "one billion, two hundred sixty million, eight hundred sixty-four thousand".