6437984 has 48 divisors (see below), whose sum is σ = 14859936. Its totient is φ = 2688000.

The previous prime is 6437983. The next prime is 6438007. The reversal of 6437984 is 4897346.

6437984 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6437983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8834 + ... + 9534.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 2^6437984 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 6437984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429968).

6437984 is an abundant number, since it is smaller than the sum of its proper divisors (8421952).

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

6437984 is a wasteful number, since it uses less digits than its factorization.

6437984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 751 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 6437984 is about 2537.3182693545. The cubic root of 6437984 is about 186.0301334768.

The spelling of 6437984 in words is "six million, four hundred thirty-seven thousand, nine hundred eighty-four".