1378944 has 160 divisors (see below), whose sum is σ = 4936800. Its totient is φ = 373248.

The previous prime is 1378943. The next prime is 1378957. The reversal of 1378944 is 4498731.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1378899 and 1378908.

It is not an unprimeable number, because it can be changed into a prime (1378943) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72567 + ... + 72585.

It is an arithmetic number, because the mean of its divisors is an integer number (30855).

2^1378944 is an apocalyptic number.

1378944 is a gapful number since it is divisible by the number (14) 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 1378944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468400).

1378944 is an abundant number, since it is smaller than the sum of its proper divisors (3557856).

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

1378944 is an equidigital number, since it uses as much as digits as its factorization.

1378944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 31 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1378944 is about 1174.2844629816. The cubic root of 1378944 is about 111.3052227626.

The spelling of 1378944 in words is "one million, three hundred seventy-eight thousand, nine hundred forty-four".