6461316 has 48 divisors (see below), whose sum is σ = 17337600. Its totient is φ = 2078496.

The previous prime is 6461269. The next prime is 6461317. The reversal of 6461316 is 6131646.

6461316 is a `hidden beast` number, since 646 + 1 + 3 + 16 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6461316.

It is not an unprimeable number, because it can be changed into a prime (6461317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2101 + ... + 4163.

It is an arithmetic number, because the mean of its divisors is an integer number (361200).

Almost surely, 2^6461316 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 6461316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668800).

6461316 is an abundant number, since it is smaller than the sum of its proper divisors (10876284).

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

6461316 is a wasteful number, since it uses less digits than its factorization.

6461316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2097 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 6461316 is about 2541.9118788817. The cubic root of 6461316 is about 186.2545941242.

The spelling of 6461316 in words is "six million, four hundred sixty-one thousand, three hundred sixteen".