6345936 has 60 divisors (see below), whose sum is σ = 17951232. Its totient is φ = 2092608.

The previous prime is 6345923. The next prime is 6345949. The reversal of 6345936 is 6395436.

6345936 is a `hidden beast` number, since 63 + 4 + 593 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6345923) and next prime (6345949).

It is a super-4 number, since 4×6345936⁴ (a number of 28 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6345936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18115 + ... + 18461.

Almost surely, 2^6345936 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 6345936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8975616).

6345936 is an abundant number, since it is smaller than the sum of its proper divisors (11605296).

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

6345936 is a wasteful number, since it uses less digits than its factorization.

6345936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 479 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 6345936 is about 2519.1141300068. The cubic root of 6345936 is about 185.1392766634.

The spelling of 6345936 in words is "six million, three hundred forty-five thousand, nine hundred thirty-six".