6546456 has 96 divisors (see below), whose sum is σ = 20966400. Its totient is φ = 1805760.

The previous prime is 6546451. The next prime is 6546461.

6546456 = 54² + 55² + ... + 270².

It is a happy number.

6546456 is a `hidden beast` number, since 6 + 5 + 4 + 645 + 6 = 666.

6546456 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6546451) and next prime (6546461).

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 6546456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6546451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15415 + ... + 15833.

It is an arithmetic number, because the mean of its divisors is an integer number (218400).

Almost surely, 2^6546456 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 6546456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10483200).

6546456 is an abundant number, since it is smaller than the sum of its proper divisors (14419944).

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

6546456 is a wasteful number, since it uses less digits than its factorization.

6546456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 462 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 6546456 is about 2558.6043070393. The cubic root of 6546456 is about 187.0691118808.

It can be divided in two parts, 654 and 6456, that multiplied together give a palindrome (4222224).

The spelling of 6546456 in words is "six million, five hundred forty-six thousand, four hundred fifty-six".