1362768 has 80 divisors (see below), whose sum is σ = 4017600. Its totient is φ = 394240.

The previous prime is 1362763. The next prime is 1362787. The reversal of 1362768 is 8672631.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1362761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15268 + ... + 15356.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

2^1362768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1362768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008800).

1362768 is an abundant number, since it is smaller than the sum of its proper divisors (2654832).

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

1362768 is a wasteful number, since it uses less digits than its factorization.

1362768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

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

The square root of 1362768 is about 1167.3765459354. The cubic root of 1362768 is about 110.8682797571.

It can be divided in two parts, 13627 and 68, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 1362768 in words is "one million, three hundred sixty-two thousand, seven hundred sixty-eight".