164165544 has 48 divisors (see below), whose sum is σ = 451264320. Its totient is φ = 53903520.

The previous prime is 164165543. The next prime is 164165587. The reversal of 164165544 is 445561461.

164165544 is a `hidden beast` number, since 1 + 641 + 6 + 5 + 5 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 164165499 and 164165508.

It is not an unprimeable number, because it can be changed into a prime (164165543) 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, 12192 + ... + 21839.

It is an arithmetic number, because the mean of its divisors is an integer number (9401340).

Almost surely, 2^164165544 is an apocalyptic number.

It is an amenable number.

164165544 is an abundant number, since it is smaller than the sum of its proper divisors (287098776).

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

164165544 is a wasteful number, since it uses less digits than its factorization.

164165544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34110 (or 34103 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 164165544 is about 12812.7102519334. The cubic root of 164165544 is about 547.5544800982.

The spelling of 164165544 in words is "one hundred sixty-four million, one hundred sixty-five thousand, five hundred forty-four".