1278160 has 40 divisors (see below), whose sum is σ = 3202920. Its totient is φ = 471552.

The previous prime is 1278139. The next prime is 1278163. The reversal of 1278160 is 618721.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 1024144 = 504^2 + 1012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1278163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426 + ... + 1654.

It is an arithmetic number, because the mean of its divisors is an integer number (80073).

2^1278160 is an apocalyptic number.

1278160 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 1278160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601460).

1278160 is an abundant number, since it is smaller than the sum of its proper divisors (1924760).

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

1278160 is a wasteful number, since it uses less digits than its factorization.

1278160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 1278160 is about 1130.5573846559. The cubic root of 1278160 is about 108.5246533769.

It can be divided in two parts, 1278 and 160, that multiplied together give a triangular number (204480 = T₆₃₉).

The spelling of 1278160 in words is "one million, two hundred seventy-eight thousand, one hundred sixty".