6368736 has 96 divisors (see below), whose sum is σ = 18845568. Its totient is φ = 1866240.

The previous prime is 6368711. The next prime is 6368741. The reversal of 6368736 is 6378636.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (108864) is a multiple of the sum of its prime divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 6368694 and 6368703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38991 + ... + 39153.

It is an arithmetic number, because the mean of its divisors is an integer number (196308).

Almost surely, 2^6368736 is an apocalyptic number.

6368736 is a gapful number since it is divisible by the number (66) 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 6368736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9422784).

6368736 is an abundant number, since it is smaller than the sum of its proper divisors (12476832).

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

6368736 is a wasteful number, since it uses less digits than its factorization.

6368736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 6368736 is about 2523.6354728843. The cubic root of 6368736 is about 185.3607375702.

The spelling of 6368736 in words is "six million, three hundred sixty-eight thousand, seven hundred thirty-six".