6416984 has 64 divisors (see below), whose sum is σ = 14956800. Its totient is φ = 2519424.

The previous prime is 6416981. The next prime is 6416987. The reversal of 6416984 is 4896146.

6416984 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6416981) and next prime (6416987).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6416981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39287 + ... + 39449.

It is an arithmetic number, because the mean of its divisors is an integer number (233700).

Almost surely, 2^6416984 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 6416984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7478400).

6416984 is an abundant number, since it is smaller than the sum of its proper divisors (8539816).

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

6416984 is a wasteful number, since it uses less digits than its factorization.

6416984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 6416984 is about 2533.1766618221. The cubic root of 6416984 is about 185.8276431638.

It can be divided in two parts, 641 and 6984, that multiplied together give a palindrome (4476744).

The spelling of 6416984 in words is "six million, four hundred sixteen thousand, nine hundred eighty-four".