16882140 has 48 divisors (see below), whose sum is σ = 51569280. Its totient is φ = 4092480.

The previous prime is 16882133. The next prime is 16882141. The reversal of 16882140 is 4128861.

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

It is a junction number, because it is equal to n+sod(n) for n = 16882098 and 16882107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16882141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12130 + ... + 13449.

It is an arithmetic number, because the mean of its divisors is an integer number (1074360).

Almost surely, 2^16882140 is an apocalyptic number.

16882140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16882140 is an abundant number, since it is smaller than the sum of its proper divisors (34687140).

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

16882140 is a wasteful number, since it uses less digits than its factorization.

16882140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25602 (or 25600 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 16882140 is about 4108.7881425063. The cubic root of 16882140 is about 256.5325623918.

It can be divided in two parts, 168821 and 40, that added together give a palindrome (168861).

The spelling of 16882140 in words is "sixteen million, eight hundred eighty-two thousand, one hundred forty".