1263094560 has 1008 divisors, whose sum is σ = 5934544056. Its totient is φ = 250822656.

The previous prime is 1263094537. The next prime is 1263094561. The reversal of 1263094560 is 654903621.

It is a happy number.

1263094560 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 0 + 94 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 960752016 + 302342544 = 30996^2 + 17388^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (1263094561) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 74299672 + ... + 74299688.

Almost surely, 2^1263094560 is an apocalyptic number.

1263094560 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 1263094560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967272028).

1263094560 is an abundant number, since it is smaller than the sum of its proper divisors (4671449496).

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

1263094560 is a wasteful number, since it uses less digits than its factorization.

1263094560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1263094560 is about 35540.0416431945. The cubic root of 1263094560 is about 1080.9658027287.

The spelling of 1263094560 in words is "one billion, two hundred sixty-three million, ninety-four thousand, five hundred sixty".