6353984 has 56 divisors (see below), whose sum is σ = 15532608. Its totient is φ = 2511360.

The previous prime is 6353959. The next prime is 6353989. The reversal of 6353984 is 4893536.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×6353984² = 80746225344512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6353989) 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, 5279 + ... + 6369.

It is an arithmetic number, because the mean of its divisors is an integer number (277368).

Almost surely, 2^6353984 is an apocalyptic number.

6353984 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 6353984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7766304).

6353984 is an abundant number, since it is smaller than the sum of its proper divisors (9178624).

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

6353984 is a wasteful number, since it uses less digits than its factorization.

6353984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1113 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 6353984 is about 2520.7110108063. The cubic root of 6353984 is about 185.2175089611.

It can be divided in two parts, 6353 and 984, that added together give a palindrome (7337).

The spelling of 6353984 in words is "six million, three hundred fifty-three thousand, nine hundred eighty-four".