16934112 has 72 divisors (see below), whose sum is σ = 51872184. Its totient is φ = 5209344.

The previous prime is 16934101. The next prime is 16934129. The reversal of 16934112 is 21143961.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1483 + ... + 6005.

It is an arithmetic number, because the mean of its divisors is an integer number (720447).

Almost surely, 2^16934112 is an apocalyptic number.

16934112 is a gapful number since it is divisible by the number (12) 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 16934112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25936092).

16934112 is an abundant number, since it is smaller than the sum of its proper divisors (34938072).

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

16934112 is a wasteful number, since it uses less digits than its factorization.

16934112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4541 counting only the distinct ones).

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

The square root of 16934112 is about 4115.1077750163. The cubic root of 16934112 is about 256.7955395621.

The spelling of 16934112 in words is "sixteen million, nine hundred thirty-four thousand, one hundred twelve".