1386880 has 64 divisors (see below), whose sum is σ = 3635280. Its totient is φ = 501760.

The previous prime is 1386863. The next prime is 1386881. The reversal of 1386880 is 886831.

1386880 = 131² + 132² + ... + 185².

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1386880² = 3846872268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1386881) 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, 6942 + ... + 7138.

2^1386880 is an apocalyptic number.

1386880 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 1386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817640).

1386880 is an abundant number, since it is smaller than the sum of its proper divisors (2248400).

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

1386880 is a wasteful number, since it uses less digits than its factorization.

1386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 1386880 is about 1177.6586941894. The cubic root of 1386880 is about 111.5183397343.

The spelling of 1386880 in words is "one million, three hundred eighty-six thousand, eight hundred eighty".