6871440 has 40 divisors (see below), whose sum is σ = 21302208. Its totient is φ = 1832320.

The previous prime is 6871421. The next prime is 6871441. The reversal of 6871440 is 441786.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×6871440³ (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 6871398 and 6871407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6871441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14076 + ... + 14555.

Almost surely, 2^6871440 is an apocalyptic number.

6871440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6871440 is an abundant number, since it is smaller than the sum of its proper divisors (14430768).

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

6871440 is a wasteful number, since it uses less digits than its factorization.

6871440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28647 (or 28641 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 6871440 is about 2621.3431671569. The cubic root of 6871440 is about 190.1147967393.

The spelling of 6871440 in words is "six million, eight hundred seventy-one thousand, four hundred forty".