6456096 has 72 divisors (see below), whose sum is σ = 19017180. Its totient is φ = 2075136.

The previous prime is 6456083. The next prime is 6456113. The reversal of 6456096 is 6906546.

It is a happy number.

6456096 is a `hidden beast` number, since 6 + 4 + 560 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6051600 + 404496 = 2460^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×6456096² = 83362351122432, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 6456096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7966 + ... + 8738.

Almost surely, 2^6456096 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 6456096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9508590).

6456096 is an abundant number, since it is smaller than the sum of its proper divisors (12561084).

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

6456096 is a wasteful number, since it uses less digits than its factorization.

6456096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6456096 is about 2540.8848852319. The cubic root of 6456096 is about 186.2044231827.

The spelling of 6456096 in words is "six million, four hundred fifty-six thousand, ninety-six".