164038512 has 80 divisors (see below), whose sum is σ = 469291392. Its totient is φ = 48956160.

The previous prime is 164038493. The next prime is 164038531. The reversal of 164038512 is 215830461.

It is an interprime number because it is at equal distance from previous prime (164038493) and next prime (164038531).

It is a self number, because there is not a number n which added to its sum of digits gives 164038512.

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, 33058 + ... + 37694.

Almost surely, 2^164038512 is an apocalyptic number.

164038512 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 164038512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234645696).

164038512 is an abundant number, since it is smaller than the sum of its proper divisors (305252880).

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

164038512 is a wasteful number, since it uses less digits than its factorization.

164038512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 164038512 is about 12807.7520275808. The cubic root of 164038512 is about 547.4132103207.

Adding to 164038512 its reverse (215830461), we get a palindrome (379868973).

The spelling of 164038512 in words is "one hundred sixty-four million, thirty-eight thousand, five hundred twelve".