16387668 has 72 divisors (see below), whose sum is σ = 46781280. Its totient is φ = 4791360.

The previous prime is 16387649. The next prime is 16387669. The reversal of 16387668 is 86678361.

16387668 is a `hidden beast` number, since 1 + 638 + 7 + 6 + 6 + 8 = 666.

16387668 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16387669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10771 + ... + 12197.

It is an arithmetic number, because the mean of its divisors is an integer number (649740).

Almost surely, 2^16387668 is an apocalyptic number.

16387668 is a gapful number since it is divisible by the number (18) 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 16387668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640).

16387668 is an abundant number, since it is smaller than the sum of its proper divisors (30393612).

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

16387668 is a wasteful number, since it uses less digits than its factorization.

16387668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1472 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 16387668 is about 4048.1684747550. The cubic root of 16387668 is about 254.0031206346.

The spelling of 16387668 in words is "sixteen million, three hundred eighty-seven thousand, six hundred sixty-eight".