164039424 has 72 divisors (see below), whose sum is σ = 439541760. Its totient is φ = 54309888.

The previous prime is 164039419. The next prime is 164039437. The reversal of 164039424 is 424930461.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127617 + ... + 128895.

Almost surely, 2^164039424 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 164039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219770880).

164039424 is an abundant number, since it is smaller than the sum of its proper divisors (275502336).

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

164039424 is a wasteful number, since it uses less digits than its factorization.

164039424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 164039424 is about 12807.7876309689. The cubic root of 164039424 is about 547.4142247978.

Adding to 164039424 its reverse (424930461), we get a palindrome (588969885).

The spelling of 164039424 in words is "one hundred sixty-four million, thirty-nine thousand, four hundred twenty-four".