6348720 has 80 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 1450752.

The previous prime is 6348703. The next prime is 6348721. The reversal of 6348720 is 278436.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 6 + 3¹⁰ + 4³ + 8³ + 7⁸ + 2¹⁹ + 0 .

It is not an unprimeable number, because it can be changed into a prime (6348721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210 + ... + 3569.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^6348720 is an apocalyptic number.

6348720 is a gapful number since it is divisible by the number (60) 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 6348720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

6348720 is an abundant number, since it is smaller than the sum of its proper divisors (16149840).

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

6348720 is a wasteful number, since it uses less digits than its factorization.

6348720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 6348720 is about 2519.6666446179. Note that the first 4 decimals coincide. The cubic root of 6348720 is about 185.1663466071.

The spelling of 6348720 in words is "six million, three hundred forty-eight thousand, seven hundred twenty".