1263728160 has 144 divisors (see below), whose sum is σ = 4355671320. Its totient is φ = 333619200.

The previous prime is 1263728159. The next prime is 1263728173. The reversal of 1263728160 is 618273621.

1263728160 is a `hidden beast` number, since 1 + 2 + 637 + 2 + 8 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1259114256 + 4613904 = 35484^2 + 2148^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141096 + ... + 149784.

Almost surely, 2^1263728160 is an apocalyptic number.

1263728160 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 1263728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177835660).

1263728160 is an abundant number, since it is smaller than the sum of its proper divisors (3091943160).

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

1263728160 is a wasteful number, since it uses less digits than its factorization.

1263728160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8811 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1263728160 is about 35548.9544150035. The cubic root of 1263728160 is about 1081.1465190597.

The spelling of 1263728160 in words is "one billion, two hundred sixty-three million, seven hundred twenty-eight thousand, one hundred sixty".