164619648 has 256 divisors, whose sum is σ = 538560000. Its totient is φ = 49268736.

The previous prime is 164619613. The next prime is 164619659. The reversal of 164619648 is 846916461.

164619648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 1510218 + ... + 1510326.

It is an arithmetic number, because the mean of its divisors is an integer number (2103750).

Almost surely, 2^164619648 is an apocalyptic number.

164619648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164619648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269280000).

164619648 is an abundant number, since it is smaller than the sum of its proper divisors (373940352).

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

164619648 is a wasteful number, since it uses less digits than its factorization.

164619648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 164619648 is about 12830.4188552050. The cubic root of 164619648 is about 548.0588851068.

The spelling of 164619648 in words is "one hundred sixty-four million, six hundred nineteen thousand, six hundred forty-eight".