6242880 has 112 divisors (see below), whose sum is σ = 22677120. Its totient is φ = 1425408.

The previous prime is 6242879. The next prime is 6242891. The reversal of 6242880 is 882426.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

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, 6256 + ... + 7184.

Almost surely, 2^6242880 is an apocalyptic number.

6242880 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 6242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338560).

6242880 is an abundant number, since it is smaller than the sum of its proper divisors (16434240).

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

6242880 is a wasteful number, since it uses less digits than its factorization.

6242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 6242880 is about 2498.5755942136. The cubic root of 6242880 is about 184.1316008758.

The spelling of 6242880 in words is "six million, two hundred forty-two thousand, eight hundred eighty".