164028024 has 128 divisors (see below), whose sum is σ = 473184000. Its totient is φ = 52617600.

The previous prime is 164028023. The next prime is 164028049. The reversal of 164028024 is 420820461.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164028023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777279 + ... + 777489.

It is an arithmetic number, because the mean of its divisors is an integer number (3696750).

Almost surely, 2^164028024 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 164028024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236592000).

164028024 is an abundant number, since it is smaller than the sum of its proper divisors (309155976).

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

164028024 is a wasteful number, since it uses less digits than its factorization.

164028024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 164028024 is about 12807.3425815038. The cubic root of 164028024 is about 547.4015435643.

Adding to 164028024 its reverse (420820461), we get a palindrome (584848485).

The spelling of 164028024 in words is "one hundred sixty-four million, twenty-eight thousand, twenty-four".