16182864 has 60 divisors (see below), whose sum is σ = 46411092. Its totient is φ = 5260800.

The previous prime is 16182863. The next prime is 16182877. The reversal of 16182864 is 46828161.

It can be written as a sum of positive squares in 2 ways, for example, as 2433600 + 13749264 = 1560^2 + 3708^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16182863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4534 + ... + 7274.

Almost surely, 2^16182864 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 16182864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23205546).

16182864 is an abundant number, since it is smaller than the sum of its proper divisors (30228228).

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

16182864 is a wasteful number, since it uses less digits than its factorization.

16182864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2787 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 16182864 is about 4022.7930595545. The cubic root of 16182864 is about 252.9405516819.

The spelling of 16182864 in words is "sixteen million, one hundred eighty-two thousand, eight hundred sixty-four".