1380288 has 112 divisors (see below), whose sum is σ = 4551680. Its totient is φ = 359424.

The previous prime is 1380283. The next prime is 1380289. The reversal of 1380288 is 8820831.

1380288 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (112).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380283) 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, 17433 + ... + 17511.

It is an arithmetic number, because the mean of its divisors is an integer number (40640).

2^1380288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275840).

1380288 is an abundant number, since it is smaller than the sum of its proper divisors (3171392).

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

1380288 is a wasteful number, since it uses less digits than its factorization.

1380288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1380288 is about 1174.8565869926. The cubic root of 1380288 is about 111.3413725614.

The spelling of 1380288 in words is "one million, three hundred eighty thousand, two hundred eighty-eight".