1378160 has 80 divisors (see below), whose sum is σ = 3856896. Its totient is φ = 447744.

The previous prime is 1378151. The next prime is 1378163. The reversal of 1378160 is 618731.

1378160 = T₁₀₄ + T₁₀₅ + ... + T₂₁₀.

1378160 = 1² + 2² + ... + 160².

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378163) 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, 12827 + ... + 12933.

2^1378160 is an apocalyptic number.

1378160 is a gapful number since it is divisible by the number (10) 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 1378160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928448).

1378160 is an abundant number, since it is smaller than the sum of its proper divisors (2478736).

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

1378160 is a wasteful number, since it uses less digits than its factorization.

1378160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1378160 is about 1173.9505952126. The cubic root of 1378160 is about 111.2841245315.

The spelling of 1378160 in words is "one million, three hundred seventy-eight thousand, one hundred sixty".