164005248 has 128 divisors (see below), whose sum is σ = 487347840. Its totient is φ = 48435200.

The previous prime is 164005229. The next prime is 164005297. The reversal of 164005248 is 842500461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172711 + ... + 173657.

It is an arithmetic number, because the mean of its divisors is an integer number (3807405).

Almost surely, 2^164005248 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 164005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243673920).

164005248 is an abundant number, since it is smaller than the sum of its proper divisors (323342592).

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

164005248 is a wasteful number, since it uses less digits than its factorization.

164005248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 164005248 is about 12806.4533732021. The cubic root of 164005248 is about 547.3762060348.

The spelling of 164005248 in words is "one hundred sixty-four million, five thousand, two hundred forty-eight".