164055648 has 48 divisors (see below), whose sum is σ = 433097280. Its totient is φ = 54374016.

The previous prime is 164055641. The next prime is 164055673. The reversal of 164055648 is 846550461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164055641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12411 + ... + 21957.

It is an arithmetic number, because the mean of its divisors is an integer number (9022860).

Almost surely, 2^164055648 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 164055648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216548640).

164055648 is an abundant number, since it is smaller than the sum of its proper divisors (269041632).

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

164055648 is a wasteful number, since it uses less digits than its factorization.

164055648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9739 (or 9731 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 164055648 is about 12808.4209799647. The cubic root of 164055648 is about 547.4322711824.

The spelling of 164055648 in words is "one hundred sixty-four million, fifty-five thousand, six hundred forty-eight".