1378768 has 40 divisors (see below), whose sum is σ = 2926152. Its totient is φ = 626688.

The previous prime is 1378763. The next prime is 1378777. The reversal of 1378768 is 8678731.

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 652864 = 852^2 + 808^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1378768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9996 + ... + 10132.

2^1378768 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 1378768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463076).

1378768 is an abundant number, since it is smaller than the sum of its proper divisors (1547384).

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

1378768 is a wasteful number, since it uses less digits than its factorization.

1378768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The square root of 1378768 is about 1174.2095213377. The cubic root of 1378768 is about 111.3004871212.

It can be divided in two parts, 137 and 8768, that multiplied together give a square (1201216 = 1096²).

The spelling of 1378768 in words is "one million, three hundred seventy-eight thousand, seven hundred sixty-eight".