6456996 has 144 divisors (see below), whose sum is σ = 21117824. Its totient is φ = 1679616.

The previous prime is 6456977. The next prime is 6457007. The reversal of 6456996 is 6996546.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88416 + ... + 88488.

Almost surely, 2^6456996 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 6456996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10558912).

6456996 is an abundant number, since it is smaller than the sum of its proper divisors (14660828).

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

6456996 is a wasteful number, since it uses less digits than its factorization.

6456996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 6456996 is about 2541.0619827151. The cubic root of 6456996 is about 186.2130752739.

The spelling of 6456996 in words is "six million, four hundred fifty-six thousand, nine hundred ninety-six".