6445656 has 160 divisors (see below), whose sum is σ = 21780000. Its totient is φ = 1778112.

The previous prime is 6445639. The next prime is 6445661. The reversal of 6445656 is 6565446.

It is a happy number.

6445656 is a `hidden beast` number, since 644 + 5 + 6 + 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 6445656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 222250 + ... + 222278.

It is an arithmetic number, because the mean of its divisors is an integer number (136125).

Almost surely, 2^6445656 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 6445656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10890000).

6445656 is an abundant number, since it is smaller than the sum of its proper divisors (15334344).

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

6445656 is a wasteful number, since it uses less digits than its factorization.

6445656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

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

The square root of 6445656 is about 2538.8296516308. The cubic root of 6445656 is about 186.1040001111.

The spelling of 6445656 in words is "six million, four hundred forty-five thousand, six hundred fifty-six".