164219904 has 132 divisors (see below), whose sum is σ = 481552656. Its totient is φ = 53895168.

The previous prime is 164219893. The next prime is 164219911. The reversal of 164219904 is 409912461.

It is a happy number.

164219904 is a `hidden beast` number, since 1 + 642 + 1 + 9 + 9 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 949162 + ... + 949334.

Almost surely, 2^164219904 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 164219904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240776328).

164219904 is an abundant number, since it is smaller than the sum of its proper divisors (317332752).

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

164219904 is a wasteful number, since it uses less digits than its factorization.

164219904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 164219904 is about 12814.8314073967. The cubic root of 164219904 is about 547.6149105150.

The spelling of 164219904 in words is "one hundred sixty-four million, two hundred nineteen thousand, nine hundred four".