6414720 has 128 divisors (see below), whose sum is σ = 22105440. Its totient is φ = 1572864.

The previous prime is 6414719. The next prime is 6414731. The reversal of 6414720 is 274146.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6414720² = 82297265356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24832 + ... + 25088.

Almost surely, 2^6414720 is an apocalyptic number.

6414720 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 6414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11052720).

6414720 is an abundant number, since it is smaller than the sum of its proper divisors (15690720).

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

6414720 is a wasteful number, since it uses less digits than its factorization.

6414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 6414720 is about 2532.7297526582. The cubic root of 6414720 is about 185.8057864124.

Adding to 6414720 its reverse (274146), we get a palindrome (6688866).

The spelling of 6414720 in words is "six million, four hundred fourteen thousand, seven hundred twenty".