6408720 has 200 divisors, whose sum is σ = 23766336. Its totient is φ = 1596672.

The previous prime is 6408713. The next prime is 6408749. The reversal of 6408720 is 278046.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 149019 + ... + 149061.

Almost surely, 2^6408720 is an apocalyptic number.

6408720 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 6408720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11883168).

6408720 is an abundant number, since it is smaller than the sum of its proper divisors (17357616).

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

6408720 is a wasteful number, since it uses less digits than its factorization.

6408720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6408720 is about 2531.5449828119. The cubic root of 6408720 is about 185.7478372743.

The spelling of 6408720 in words is "six million, four hundred eight thousand, seven hundred twenty".