164071824 has 40 divisors (see below), whose sum is σ = 484403520. Its totient is φ = 46877568.

The previous prime is 164071813. The next prime is 164071829. The reversal of 164071824 is 428170461.

It is not an unprimeable number, because it can be changed into a prime (164071829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243819 + ... + 244490.

It is an arithmetic number, because the mean of its divisors is an integer number (12110088).

Almost surely, 2^164071824 is an apocalyptic number.

164071824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164071824 is an abundant number, since it is smaller than the sum of its proper divisors (320331696).

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

164071824 is a wasteful number, since it uses less digits than its factorization.

164071824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488327 (or 488321 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 164071824 is about 12809.0524239695. The cubic root of 164071824 is about 547.4502629909.

The spelling of 164071824 in words is "one hundred sixty-four million, seventy-one thousand, eight hundred twenty-four".