6415920 has 240 divisors, whose sum is σ = 26307840. Its totient is φ = 1368576.

The previous prime is 6415891. The next prime is 6415943. The reversal of 6415920 is 295146.

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95727 + ... + 95793.

It is an arithmetic number, because the mean of its divisors is an integer number (109616).

Almost surely, 2^6415920 is an apocalyptic number.

6415920 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 6415920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13153920).

6415920 is an abundant number, since it is smaller than the sum of its proper divisors (19891920).

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

6415920 is a wasteful number, since it uses less digits than its factorization.

6415920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6415920 is about 2532.9666401277. The cubic root of 6415920 is about 185.8173719034.

It can be divided in two parts, 641 and 5920, that added together give a 8-th power (6561 = 3⁸).

The spelling of 6415920 in words is "six million, four hundred fifteen thousand, nine hundred twenty".