1263811632 has 40 divisors (see below), whose sum is σ = 3267878640. Its totient is φ = 420879360.

The previous prime is 1263811631. The next prime is 1263811649. The reversal of 1263811632 is 2361183621.

It is a super-4 number, since 4×1263811632⁴ (a number of 38 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1263811593 and 1263811602.

It is not an unprimeable number, because it can be changed into a prime (1263811631) 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 7 ways as a sum of consecutive naturals, for example, 42532 + ... + 65852.

It is an arithmetic number, because the mean of its divisors is an integer number (81696966).

Almost surely, 2^1263811632 is an apocalyptic number.

1263811632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1263811632 is an abundant number, since it is smaller than the sum of its proper divisors (2004067008).

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

1263811632 is a wasteful number, since it uses less digits than its factorization.

1263811632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24461 (or 24455 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 1263811632 is about 35550.1284385865. The cubic root of 1263811632 is about 1081.1703225638.

It can be divided in two parts, 12 and 63811632, that multiplied together give a square (765739584 = 27672²).

The spelling of 1263811632 in words is "one billion, two hundred sixty-three million, eight hundred eleven thousand, six hundred thirty-two".