164671248 has 160 divisors (see below), whose sum is σ = 521109504. Its totient is φ = 43739136.

The previous prime is 164671219. The next prime is 164671259. The reversal of 164671248 is 842176461.

It is a nude number because it is divisible by every one of its digits.

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, 725311 + ... + 725537.

Almost surely, 2^164671248 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 164671248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260554752).

164671248 is an abundant number, since it is smaller than the sum of its proper divisors (356438256).

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

164671248 is a wasteful number, since it uses less digits than its factorization.

164671248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 164671248 is about 12832.4295439328. The cubic root of 164671248 is about 548.1161421121.

The spelling of 164671248 in words is "one hundred sixty-four million, six hundred seventy-one thousand, two hundred forty-eight".