164411124 has 48 divisors (see below), whose sum is σ = 390096000. Its totient is φ = 53886976.

The previous prime is 164411119. The next prime is 164411147. The reversal of 164411124 is 421114461.

It is a super-3 number, since 3×164411124³ (a number of 26 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 164411094 and 164411103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274177 + ... + 274775.

It is an arithmetic number, because the mean of its divisors is an integer number (8127000).

Almost surely, 2^164411124 is an apocalyptic number.

It is an amenable number.

164411124 is an abundant number, since it is smaller than the sum of its proper divisors (225684876).

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

164411124 is a wasteful number, since it uses less digits than its factorization.

164411124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 950 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 164411124 is about 12822.2901230630. The cubic root of 164411124 is about 547.8273782754.

Adding to 164411124 its reverse (421114461), we get a palindrome (585525585).

The spelling of 164411124 in words is "one hundred sixty-four million, four hundred eleven thousand, one hundred twenty-four".