6129216 has 56 divisors (see below), whose sum is σ = 18023840. Its totient is φ = 2042496.

The previous prime is 6129209. The next prime is 6129257.

6129216 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 6129216.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46 + ... + 3501.

Almost surely, 2^6129216 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 6129216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9011920).

6129216 is an abundant number, since it is smaller than the sum of its proper divisors (11894624).

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

6129216 is a wasteful number, since it uses less digits than its factorization.

6129216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3552 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 6129216 is about 2475.7253482565. The cubic root of 6129216 is about 183.0072558263.

The spelling of 6129216 in words is "six million, one hundred twenty-nine thousand, two hundred sixteen".