6407856 has 160 divisors (see below), whose sum is σ = 22776320. Its totient is φ = 1679616.

The previous prime is 6407851. The next prime is 6407857. The reversal of 6407856 is 6587046.

It is a happy number.

6407856 is a `hidden beast` number, since 640 + 7 + 8 + 5 + 6 = 666.

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 6407856.

It is not an unprimeable number, because it can be changed into a prime (6407851) 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, 39231 + ... + 39393.

It is an arithmetic number, because the mean of its divisors is an integer number (142352).

Almost surely, 2^6407856 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 6407856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11388160).

6407856 is an abundant number, since it is smaller than the sum of its proper divisors (16368464).

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

6407856 is a wasteful number, since it uses less digits than its factorization.

6407856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6407856 is about 2531.3743302799. The cubic root of 6407856 is about 185.7394896196.

The spelling of 6407856 in words is "six million, four hundred seven thousand, eight hundred fifty-six".