1381968 has 80 divisors (see below), whose sum is σ = 4543360. Its totient is φ = 393984.

The previous prime is 1381967. The next prime is 1381969. The reversal of 1381968 is 8691831.

It is an interprime number because it is at equal distance from previous prime (1381967) and next prime (1381969).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381967) 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, 2796 + ... + 3252.

It is an arithmetic number, because the mean of its divisors is an integer number (56792).

2^1381968 is an apocalyptic number.

1381968 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 1381968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271680).

1381968 is an abundant number, since it is smaller than the sum of its proper divisors (3161392).

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

1381968 is a wasteful number, since it uses less digits than its factorization.

1381968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 469 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1381968 is about 1175.5713504505. The cubic root of 1381968 is about 111.3865268257.

The spelling of 1381968 in words is "one million, three hundred eighty-one thousand, nine hundred sixty-eight".