1263155760 has 240 divisors, whose sum is σ = 4637917440. Its totient is φ = 306708480.

The previous prime is 1263155723. The next prime is 1263155767. The reversal of 1263155760 is 675513621.

1263155760 is a `hidden beast` number, since 12 + 6 + 31 + 557 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (1263155767) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 377776 + ... + 381104.

It is an arithmetic number, because the mean of its divisors is an integer number (19324656).

Almost surely, 2^1263155760 is an apocalyptic number.

1263155760 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 1263155760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318958720).

1263155760 is an abundant number, since it is smaller than the sum of its proper divisors (3374761680).

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

1263155760 is a wasteful number, since it uses less digits than its factorization.

1263155760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1263155760 is about 35540.9026334448. The cubic root of 1263155760 is about 1080.9832609199.

The spelling of 1263155760 in words is "one billion, two hundred sixty-three million, one hundred fifty-five thousand, seven hundred sixty".