6424880 has 120 divisors (see below), whose sum is σ = 19083600. Its totient is φ = 1989120.

The previous prime is 6424879. The next prime is 6424883. The reversal of 6424880 is 884246.

6424880 = T₂₁₆ + T₂₁₇ + ... + T₃₆₄.

It is not an unprimeable number, because it can be changed into a prime (6424883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43046 + ... + 43194.

It is an arithmetic number, because the mean of its divisors is an integer number (159030).

Almost surely, 2^6424880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6424880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9541800).

6424880 is an abundant number, since it is smaller than the sum of its proper divisors (12658720).

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

6424880 is a wasteful number, since it uses less digits than its factorization.

6424880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 6424880 is about 2534.7347001215. The cubic root of 6424880 is about 185.9038312740.

The spelling of 6424880 in words is "six million, four hundred twenty-four thousand, eight hundred eighty".