1336968 has 48 divisors (see below), whose sum is σ = 3744000. Its totient is φ = 430560.

The previous prime is 1336963. The next prime is 1336997. The reversal of 1336968 is 8696331.

It is a happy number.

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 a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1336961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1933 + ... + 2531.

It is an arithmetic number, because the mean of its divisors is an integer number (78000).

2^1336968 is an apocalyptic number.

1336968 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 1336968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872000).

1336968 is an abundant number, since it is smaller than the sum of its proper divisors (2407032).

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

1336968 is a wasteful number, since it uses less digits than its factorization.

1336968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 635 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 1336968 is about 1156.2733240891. The cubic root of 1336968 is about 110.1641625975.

It can be divided in two parts, 1336 and 968, that added together give a square (2304 = 48²).

The spelling of 1336968 in words is "one million, three hundred thirty-six thousand, nine hundred sixty-eight".