1260705600 has 672 divisors, whose sum is σ = 5744870400. Its totient is φ = 261273600.

The previous prime is 1260705587. The next prime is 1260705653. The reversal of 1260705600 is 65070621.

1260705600 is a `hidden beast` number, since 1 + 2 + 607 + 0 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3326211 + ... + 3326589.

Almost surely, 2^1260705600 is an apocalyptic number.

1260705600 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 1260705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872435200).

1260705600 is an abundant number, since it is smaller than the sum of its proper divisors (4484164800).

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

1260705600 is a wasteful number, since it uses less digits than its factorization.

1260705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1260705600 is about 35506.4163215608. The cubic root of 1260705600 is about 1080.2838759945.

The spelling of 1260705600 in words is "one billion, two hundred sixty million, seven hundred five thousand, six hundred".