6893640 has 128 divisors (see below), whose sum is σ = 24796800. Its totient is φ = 1693440.

The previous prime is 6893639. The next prime is 6893641. The reversal of 6893640 is 463986.

6893640 is a `hidden beast` number, since 6 + 8 + 9 + 3 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (6893639) and next prime (6893641).

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 = 6893595 and 6893604.

It is not an unprimeable number, because it can be changed into a prime (6893641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13795 + ... + 14285.

It is an arithmetic number, because the mean of its divisors is an integer number (193725).

Almost surely, 2^6893640 is an apocalyptic number.

6893640 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 6893640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12398400).

6893640 is an abundant number, since it is smaller than the sum of its proper divisors (17903160).

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

6893640 is a wasteful number, since it uses less digits than its factorization.

6893640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6893640 is about 2625.5742229082. The cubic root of 6893640 is about 190.3193153181.

The spelling of 6893640 in words is "six million, eight hundred ninety-three thousand, six hundred forty".