1395840 has 64 divisors (see below), whose sum is σ = 4455360. Its totient is φ = 371712.

The previous prime is 1395839. The next prime is 1395859. The reversal of 1395840 is 485931.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 1395798 and 1395807.

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, 1557 + ... + 2283.

It is an arithmetic number, because the mean of its divisors is an integer number (69615).

2^1395840 is an apocalyptic number.

1395840 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 1395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227680).

1395840 is an abundant number, since it is smaller than the sum of its proper divisors (3059520).

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

1395840 is an equidigital number, since it uses as much as digits as its factorization.

1395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1395840 is about 1181.4567279422. The cubic root of 1395840 is about 111.7579808022.

Subtracting from 1395840 its reverse (485931), we obtain a palindrome (909909).

The spelling of 1395840 in words is "one million, three hundred ninety-five thousand, eight hundred forty".