6413688 has 64 divisors (see below), whose sum is σ = 18604800. Its totient is φ = 2043360.

The previous prime is 6413677. The next prime is 6413699. The reversal of 6413688 is 8863146.

It is a happy number.

6413688 is a `hidden beast` number, since 641 + 3 + 6 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6413677) and next prime (6413699).

It is a super-2 number, since 2×6413688² = 82270787522688, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4323 + ... + 5613.

It is an arithmetic number, because the mean of its divisors is an integer number (290700).

Almost surely, 2^6413688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6413688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302400).

6413688 is an abundant number, since it is smaller than the sum of its proper divisors (12191112).

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

6413688 is a wasteful number, since it uses less digits than its factorization.

6413688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1319 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 6413688 is about 2532.5260117124. The cubic root of 6413688 is about 185.7958217345.

It can be divided in two parts, 6413 and 688, that multiplied together give a palindrome (4412144).

The spelling of 6413688 in words is "six million, four hundred thirteen thousand, six hundred eighty-eight".