1268736 has 88 divisors (see below), whose sum is σ = 3930240. Its totient is φ = 356352.

The previous prime is 1268731. The next prime is 1268741. The reversal of 1268736 is 6378621.

It is an interprime number because it is at equal distance from previous prime (1268731) and next prime (1268741).

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 = 1268697 and 1268706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268731) 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 7 ways as a sum of consecutive naturals, for example, 21475 + ... + 21533.

2^1268736 is an apocalyptic number.

1268736 is a gapful number since it is divisible by the number (16) 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 1268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965120).

1268736 is an abundant number, since it is smaller than the sum of its proper divisors (2661504).

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

1268736 is an equidigital number, since it uses as much as digits as its factorization.

1268736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 1268736 is about 1126.3818180351. The cubic root of 1268736 is about 108.2572741602.

The spelling of 1268736 in words is "one million, two hundred sixty-eight thousand, seven hundred thirty-six".