1388160 has 96 divisors (see below), whose sum is σ = 4813380. Its totient is φ = 368640.

The previous prime is 1388141. The next prime is 1388161. The reversal of 1388160 is 618831.

It can be written as a sum of positive squares in 2 ways, for example, as 1382976 + 5184 = 1176^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1388161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5640 + ... + 5880.

2^1388160 is an apocalyptic number.

1388160 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 1388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406690).

1388160 is an abundant number, since it is smaller than the sum of its proper divisors (3425220).

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

1388160 is a wasteful number, since it uses less digits than its factorization.

1388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1388160 is about 1178.2020200288. The cubic root of 1388160 is about 111.5526372422.

The spelling of 1388160 in words is "one million, three hundred eighty-eight thousand, one hundred sixty".