164840448 has 88 divisors (see below), whose sum is σ = 458659008. Its totient is φ = 52535296.

The previous prime is 164840413. The next prime is 164840453. The reversal of 164840448 is 844048461.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69490 + ... + 71822.

Almost surely, 2^164840448 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 164840448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229329504).

164840448 is an abundant number, since it is smaller than the sum of its proper divisors (293818560).

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

164840448 is a wasteful number, since it uses less digits than its factorization.

164840448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 164840448 is about 12839.0205233888. The cubic root of 164840448 is about 548.3038079546.

The spelling of 164840448 in words is "one hundred sixty-four million, eight hundred forty thousand, four hundred forty-eight".