16827408 has 120 divisors (see below), whose sum is σ = 51793560. Its totient is φ = 5068800.

The previous prime is 16827401. The next prime is 16827409. The reversal of 16827408 is 80472861.

It can be written as a sum of positive squares in 4 ways, for example, as 1710864 + 15116544 = 1308^2 + 3888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16827401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166558 + ... + 166658.

It is an arithmetic number, because the mean of its divisors is an integer number (431613).

Almost surely, 2^16827408 is an apocalyptic number.

16827408 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 16827408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25896780).

16827408 is an abundant number, since it is smaller than the sum of its proper divisors (34966152).

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

16827408 is a wasteful number, since it uses less digits than its factorization.

16827408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 16827408 is about 4102.1223775017. The cubic root of 16827408 is about 256.2550355544.

The spelling of 16827408 in words is "sixteen million, eight hundred twenty-seven thousand, four hundred eight".