1600164 has 18 divisors (see below), whose sum is σ = 4044950. Its totient is φ = 533376.

The previous prime is 1600153. The next prime is 1600177. The reversal of 1600164 is 4610061.

1600164 is a `hidden beast` number, since 1 + 600 + 1 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1542564 + 57600 = 1242^2 + 240^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

1600164 is a modest number, since divided by 164 gives 16 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22189 + ... + 22260.

2^1600164 is an apocalyptic number.

It is an amenable number.

1600164 is an abundant number, since it is smaller than the sum of its proper divisors (2444786).

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

1600164 is a wasteful number, since it uses less digits than its factorization.

1600164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44459 (or 44454 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1600164 is about 1264.9758890983. The cubic root of 1600164 is about 116.9647055496.

It can be divided in two parts, 1600 and 164, that added together give a square (1764 = 42²).

The spelling of 1600164 in words is "one million, six hundred thousand, one hundred sixty-four".