6895440 has 120 divisors (see below), whose sum is σ = 23686728. Its totient is φ = 1797120.

The previous prime is 6895429. The next prime is 6895451. The reversal of 6895440 is 445986.

It is an interprime number because it is at equal distance from previous prime (6895429) and next prime (6895451).

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 6843456 = 228^2 + 2616^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 6895395 and 6895404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43842 + ... + 43998.

Almost surely, 2^6895440 is an apocalyptic number.

6895440 is a gapful number since it is divisible by the number (60) 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 6895440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11843364).

6895440 is an abundant number, since it is smaller than the sum of its proper divisors (16791288).

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

6895440 is a wasteful number, since it uses less digits than its factorization.

6895440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6895440 is about 2625.9169826939. The cubic root of 6895440 is about 190.3358786506.

The spelling of 6895440 in words is "six million, eight hundred ninety-five thousand, four hundred forty".