16166920 has 128 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 4838400.

The previous prime is 16166911. The next prime is 16166933. The reversal of 16166920 is 2966161.

16166920 = T₉₉ + T₁₀₀ + ... + T₄₆₀.

It is a super-2 number, since 2×16166920² = 522738604572800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89230 + ... + 89410.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 2^16166920 is an apocalyptic number.

16166920 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 16166920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

16166920 is an abundant number, since it is smaller than the sum of its proper divisors (31007480).

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

16166920 is a wasteful number, since it uses less digits than its factorization.

16166920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 16166920 is about 4020.8108634951. The cubic root of 16166920 is about 252.8574553620.

It can be divided in two parts, 161 and 66920, that added together give a square (67081 = 259²).

The spelling of 16166920 in words is "sixteen million, one hundred sixty-six thousand, nine hundred twenty".