164186652 has 72 divisors (see below), whose sum is σ = 447639696. Its totient is φ = 46701312.

The previous prime is 164186639. The next prime is 164186653. The reversal of 164186652 is 256681461.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 164186652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164186653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171808 + ... + 172760.

It is an arithmetic number, because the mean of its divisors is an integer number (6217218).

Almost surely, 2^164186652 is an apocalyptic number.

164186652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164186652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223819848).

164186652 is an abundant number, since it is smaller than the sum of its proper divisors (283453044).

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

164186652 is a wasteful number, since it uses less digits than its factorization.

164186652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1258 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 164186652 is about 12813.5339387696. The cubic root of 164186652 is about 547.5779468264.

The spelling of 164186652 in words is "one hundred sixty-four million, one hundred eighty-six thousand, six hundred fifty-two".