164008124 has 48 divisors (see below), whose sum is σ = 351579648. Its totient is φ = 65406528.

The previous prime is 164008109. The next prime is 164008139. The reversal of 164008124 is 421800461.

It is an interprime number because it is at equal distance from previous prime (164008109) and next prime (164008139).

It is a junction number, because it is equal to n+sod(n) for n = 164008093 and 164008102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20387 + ... + 27269.

It is an arithmetic number, because the mean of its divisors is an integer number (7324576).

Almost surely, 2^164008124 is an apocalyptic number.

164008124 is a gapful number since it is divisible by the number (14) 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 164008124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175789824).

164008124 is an abundant number, since it is smaller than the sum of its proper divisors (187571524).

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

164008124 is a wasteful number, since it uses less digits than its factorization.

164008124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6954 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 164008124 is about 12806.5656598481. The cubic root of 164008124 is about 547.3794056169.

Adding to 164008124 its reverse (421800461), we get a palindrome (585808585).

The spelling of 164008124 in words is "one hundred sixty-four million, eight thousand, one hundred twenty-four".