6349920 has 48 divisors (see below), whose sum is σ = 20003760. Its totient is φ = 1693184.

The previous prime is 6349919. The next prime is 6349921. The reversal of 6349920 is 299436.

It is an interprime number because it is at equal distance from previous prime (6349919) and next prime (6349921).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6349921) 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, 6135 + ... + 7094.

It is an arithmetic number, because the mean of its divisors is an integer number (416745).

Almost surely, 2^6349920 is an apocalyptic number.

6349920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6349920 is an abundant number, since it is smaller than the sum of its proper divisors (13653840).

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

6349920 is a wasteful number, since it uses less digits than its factorization.

6349920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13247 (or 13239 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 6349920 is about 2519.9047601050. The cubic root of 6349920 is about 185.1780122456.

The spelling of 6349920 in words is "six million, three hundred forty-nine thousand, nine hundred twenty".