1263810240 has 672 divisors, whose sum is σ = 5591738880. Its totient is φ = 254361600.

The previous prime is 1263810239. The next prime is 1263810241. The reversal of 1263810240 is 420183621.

1263810240 is a `hidden beast` number, since 1 + 2 + 638 + 1 + 0 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1263810239) and next prime (1263810241).

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

It is not an unprimeable number, because it can be changed into a prime (1263810241) 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 95 ways as a sum of consecutive naturals, for example, 9092091 + ... + 9092229.

It is an arithmetic number, because the mean of its divisors is an integer number (8321040).

Almost surely, 2^1263810240 is an apocalyptic number.

1263810240 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 1263810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795869440).

1263810240 is an abundant number, since it is smaller than the sum of its proper divisors (4327928640).

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

1263810240 is a wasteful number, since it uses less digits than its factorization.

1263810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

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

The square root of 1263810240 is about 35550.1088605928. The cubic root of 1263810240 is about 1081.1699256192.

Adding to 1263810240 its reverse (420183621), we get a palindrome (1683993861).

The spelling of 1263810240 in words is "one billion, two hundred sixty-three million, eight hundred ten thousand, two hundred forty".