16882020 has 120 divisors (see below), whose sum is σ = 56166264. Its totient is φ = 4230144.

The previous prime is 16882007. The next prime is 16882039. The reversal of 16882020 is 2028861.

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 16695396 = 432^2 + 4086^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27234 + ... + 27846.

Almost surely, 2^16882020 is an apocalyptic number.

16882020 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 16882020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28083132).

16882020 is an abundant number, since it is smaller than the sum of its proper divisors (39284244).

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

16882020 is a wasteful number, since it uses less digits than its factorization.

16882020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 16882020 is about 4108.7735396344. The cubic root of 16882020 is about 256.5319545703.

The spelling of 16882020 in words is "sixteen million, eight hundred eighty-two thousand, twenty".