164232048 has 160 divisors (see below), whose sum is σ = 476477440. Its totient is φ = 48522240.

The previous prime is 164232041. The next prime is 164232049. The reversal of 164232048 is 840232461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164232041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1045986 + ... + 1046142.

It is an arithmetic number, because the mean of its divisors is an integer number (2977984).

Almost surely, 2^164232048 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 164232048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238238720).

164232048 is an abundant number, since it is smaller than the sum of its proper divisors (312245392).

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

164232048 is a wasteful number, since it uses less digits than its factorization.

164232048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 164232048 is about 12815.3052246133. The cubic root of 164232048 is about 547.6284088210.

The spelling of 164232048 in words is "one hundred sixty-four million, two hundred thirty-two thousand, forty-eight".