16162164 has 72 divisors (see below), whose sum is σ = 42948360. Its totient is φ = 5117952.

The previous prime is 16162151. The next prime is 16162171. The reversal of 16162164 is 46126161.

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 15920100 = 492^2 + 3990^2 .

It is a super-2 number, since 2×16162164² = 522431090325792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117904 + ... + 118040.

It is an arithmetic number, because the mean of its divisors is an integer number (596505).

Almost surely, 2^16162164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16162164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21474180).

16162164 is an abundant number, since it is smaller than the sum of its proper divisors (26786196).

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

16162164 is a wasteful number, since it uses less digits than its factorization.

16162164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 284 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 16162164 is about 4020.2193969981. The cubic root of 16162164 is about 252.8326576474.

The spelling of 16162164 in words is "sixteen million, one hundred sixty-two thousand, one hundred sixty-four".