164002944 has 256 divisors, whose sum is σ = 546981120. Its totient is φ = 42467328.

The previous prime is 164002933. The next prime is 164002963. The reversal of 164002944 is 449200461.

164002944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1690704 + ... + 1690800.

It is an arithmetic number, because the mean of its divisors is an integer number (2136645).

Almost surely, 2^164002944 is an apocalyptic number.

164002944 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 164002944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273490560).

164002944 is an abundant number, since it is smaller than the sum of its proper divisors (382978176).

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

164002944 is a wasteful number, since it uses less digits than its factorization.

164002944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 164002944 is about 12806.3634182386. The cubic root of 164002944 is about 547.3736427821.

The spelling of 164002944 in words is "one hundred sixty-four million, two thousand, nine hundred forty-four".