16688100 has 144 divisors (see below), whose sum is σ = 56871360. Its totient is φ = 3724800.

The previous prime is 16688093. The next prime is 16688117. The reversal of 16688100 is 188661.

It is a super-2 number, since 2×16688100² = 556985363220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42706 + ... + 43094.

It is an arithmetic number, because the mean of its divisors is an integer number (394940).

Almost surely, 2^16688100 is an apocalyptic number.

16688100 is a gapful number since it is divisible by the number (10) 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 16688100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680).

16688100 is an abundant number, since it is smaller than the sum of its proper divisors (40183260).

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

16688100 is a wasteful number, since it uses less digits than its factorization.

16688100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 16688100 is about 4085.1070977393. The cubic root of 16688100 is about 255.5459276636.

The spelling of 16688100 in words is "sixteen million, six hundred eighty-eight thousand, one hundred".