6859440 has 120 divisors (see below), whose sum is σ = 26346528. Its totient is φ = 1566720.

The previous prime is 6859429. The next prime is 6859441. The reversal of 6859440 is 449586.

6859440 is a `hidden beast` number, since 68 + 594 + 4 + 0 = 666.

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

It is a super-2 number, since 2×6859440² = 94103834227200, which contains 22 as substring.

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 = 6859395 and 6859404.

It is not an unprimeable number, because it can be changed into a prime (6859441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4360 + ... + 5720.

Almost surely, 2^6859440 is an apocalyptic number.

6859440 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 6859440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13173264).

6859440 is an abundant number, since it is smaller than the sum of its proper divisors (19487088).

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

6859440 is a wasteful number, since it uses less digits than its factorization.

6859440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1378 counting only the distinct ones).

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

The square root of 6859440 is about 2619.0532640632. The cubic root of 6859440 is about 190.0040627017.

The spelling of 6859440 in words is "six million, eight hundred fifty-nine thousand, four hundred forty".