1263887680 has 112 divisors (see below), whose sum is σ = 3305592576. Its totient is φ = 456468480.

The previous prime is 1263887633. The next prime is 1263887749. The reversal of 1263887680 is 867883621.

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 15 ways as a sum of consecutive naturals, for example, 551497 + ... + 553783.

Almost surely, 2^1263887680 is an apocalyptic number.

1263887680 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 1263887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652796288).

1263887680 is an abundant number, since it is smaller than the sum of its proper divisors (2041704896).

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

1263887680 is a wasteful number, since it uses less digits than its factorization.

1263887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 1263887680 is about 35551.1980107563. The cubic root of 1263887680 is about 1081.1920080717.

The spelling of 1263887680 in words is "one billion, two hundred sixty-three million, eight hundred eighty-seven thousand, six hundred eighty".