16164144 has 160 divisors (see below), whose sum is σ = 51425280. Its totient is φ = 4838400.

The previous prime is 16164143. The next prime is 16164151. The reversal of 16164144 is 44146161.

16164144 is a `hidden beast` number, since 1 + 616 + 4 + 1 + 44 = 666.

16164144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16164144² = 522559102505472, which contains 22 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (16164143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227629 + ... + 227699.

It is an arithmetic number, because the mean of its divisors is an integer number (321408).

Almost surely, 2^16164144 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 16164144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25712640).

16164144 is an abundant number, since it is smaller than the sum of its proper divisors (35261136).

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

16164144 is a wasteful number, since it uses less digits than its factorization.

16164144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 16164144 is about 4020.4656446735. The cubic root of 16164144 is about 252.8429819295.

The spelling of 16164144 in words is "sixteen million, one hundred sixty-four thousand, one hundred forty-four".