6297984 has 192 divisors, whose sum is σ = 22913280. Its totient is φ = 1612800.

The previous prime is 6297983. The next prime is 6297997. The reversal of 6297984 is 4897926.

6297984 = 40³ + 41³ + ... + 72³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6297983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88669 + ... + 88739.

It is an arithmetic number, because the mean of its divisors is an integer number (119340).

Almost surely, 2^6297984 is an apocalyptic number.

6297984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6297984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11456640).

6297984 is an abundant number, since it is smaller than the sum of its proper divisors (16615296).

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

6297984 is a wasteful number, since it uses less digits than its factorization.

6297984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 6297984 is about 2509.5784506566. The cubic root of 6297984 is about 184.6717725190.

The spelling of 6297984 in words is "six million, two hundred ninety-seven thousand, nine hundred eighty-four".