1263888 has 60 divisors (see below), whose sum is σ = 3617328. Its totient is φ = 411840.

The previous prime is 1263887. The next prime is 1263917. The reversal of 1263888 is 8883621.

1263888 is a `hidden beast` number, since 12 + 638 + 8 + 8 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (1263887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9583 + ... + 9713.

2^1263888 is an apocalyptic number.

1263888 is a gapful number since it is divisible by the number (18) 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 1263888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808664).

1263888 is an abundant number, since it is smaller than the sum of its proper divisors (2353440).

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

1263888 is a wasteful number, since it uses less digits than its factorization.

1263888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1263888 is about 1124.2277349363. The cubic root of 1263888 is about 108.1192099320.

Subtracting from 1263888 its product of digits (18432), we obtain a square (1245456 = 1116²).

The spelling of 1263888 in words is "one million, two hundred sixty-three thousand, eight hundred eighty-eight".