6146112 has 112 divisors (see below), whose sum is σ = 19751040. Its totient is φ = 1646592.

The previous prime is 6146099. The next prime is 6146117. The reversal of 6146112 is 2116416.

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 (21).

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

It is not an unprimeable number, because it can be changed into a prime (6146117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22714 + ... + 22982.

Almost surely, 2^6146112 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 6146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9875520).

6146112 is an abundant number, since it is smaller than the sum of its proper divisors (13604928).

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

6146112 is a wasteful number, since it uses less digits than its factorization.

6146112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 6146112 is about 2479.1353331353. The cubic root of 6146112 is about 183.1752628321.

The spelling of 6146112 in words is "six million, one hundred forty-six thousand, one hundred twelve".