164204520 has 128 divisors (see below), whose sum is σ = 522685440. Its totient is φ = 41195520.

The previous prime is 164204519. The next prime is 164204527. The reversal of 164204520 is 25402461.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (164204527) 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, 137044 + ... + 138236.

It is an arithmetic number, because the mean of its divisors is an integer number (4083480).

Almost surely, 2^164204520 is an apocalyptic number.

164204520 is a gapful number since it is divisible by the number (10) 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 164204520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261342720).

164204520 is an abundant number, since it is smaller than the sum of its proper divisors (358480920).

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

164204520 is a wasteful number, since it uses less digits than its factorization.

164204520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 164204520 is about 12814.2311513411. The cubic root of 164204520 is about 547.5978099268.

Adding to 164204520 its reverse (25402461), we get a palindrome (189606981).

The spelling of 164204520 in words is "one hundred sixty-four million, two hundred four thousand, five hundred twenty".