6461856 has 84 divisors (see below), whose sum is σ = 19142802. Its totient is φ = 2146176.

The previous prime is 6461839. The next prime is 6461869. The reversal of 6461856 is 6581646.

6461856 is a `hidden beast` number, since 646 + 1 + 8 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6170256 + 291600 = 2484^2 + 540^2 .

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 6461856.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23190 + ... + 23466.

Almost surely, 2^6461856 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 6461856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9571401).

6461856 is an abundant number, since it is smaller than the sum of its proper divisors (12680946).

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

6461856 is an equidigital number, since it uses as much as digits as its factorization.

6461856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 282 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 6461856 is about 2542.0180959230. The cubic root of 6461856 is about 186.2597826791.

The spelling of 6461856 in words is "six million, four hundred sixty-one thousand, eight hundred fifty-six".