16349688 has 80 divisors (see below), whose sum is σ = 47828880. Its totient is φ = 5208192.

The previous prime is 16349687. The next prime is 16349719. The reversal of 16349688 is 88694361.

16349688 is a `hidden beast` number, since 1 + 634 + 9 + 6 + 8 + 8 = 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 (16349687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14356 + ... + 15452.

It is an arithmetic number, because the mean of its divisors is an integer number (597861).

Almost surely, 2^16349688 is an apocalyptic number.

16349688 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 16349688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23914440).

16349688 is an abundant number, since it is smaller than the sum of its proper divisors (31479192).

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

16349688 is a wasteful number, since it uses less digits than its factorization.

16349688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1125 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 16349688 is about 4043.4747433365. The cubic root of 16349688 is about 253.8067432777.

The spelling of 16349688 in words is "sixteen million, three hundred forty-nine thousand, six hundred eighty-eight".