16242912 has 108 divisors (see below), whose sum is σ = 53778816. Its totient is φ = 4636800.

The previous prime is 16242887. The next prime is 16242913. The reversal of 16242912 is 21924261.

16242912 is a `hidden beast` number, since 1 + 624 + 29 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16242913) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13537 + ... + 14687.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 2^16242912 is an apocalyptic number.

16242912 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 16242912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26889408).

16242912 is an abundant number, since it is smaller than the sum of its proper divisors (37535904).

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

16242912 is a wasteful number, since it uses less digits than its factorization.

16242912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1163 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 16242912 is about 4030.2496200608. The cubic root of 16242912 is about 253.2530185539.

The spelling of 16242912 in words is "sixteen million, two hundred forty-two thousand, nine hundred twelve".