1385856 has 64 divisors (see below), whose sum is σ = 4100400. Its totient is φ = 460800.

The previous prime is 1385843. The next prime is 1385861. The reversal of 1385856 is 6585831.

1385856 = T₁₄₃ + T₁₄₄ + ... + T₂₂₃.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1385856.

It is a congruent number.

It is an unprimeable number.

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, 3256 + ... + 3656.

2^1385856 is an apocalyptic number.

1385856 is a gapful number since it is divisible by the number (16) 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 1385856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050200).

1385856 is an abundant number, since it is smaller than the sum of its proper divisors (2714544).

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

1385856 is an equidigital number, since it uses as much as digits as its factorization.

1385856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 406 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1385856 is about 1177.2238529693. The cubic root of 1385856 is about 111.4908865308.

The spelling of 1385856 in words is "one million, three hundred eighty-five thousand, eight hundred fifty-six".