164648052 has 72 divisors (see below), whose sum is σ = 434056896. Its totient is φ = 54571968.

The previous prime is 164648047. The next prime is 164648059. The reversal of 164648052 is 250846461.

164648052 is a `hidden beast` number, since 1 + 6 + 4 + 648 + 0 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 164647998 and 164648016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164648059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226113 + ... + 226839.

It is an arithmetic number, because the mean of its divisors is an integer number (6028568).

Almost surely, 2^164648052 is an apocalyptic number.

164648052 is a gapful number since it is divisible by the number (12) 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 164648052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217028448).

164648052 is an abundant number, since it is smaller than the sum of its proper divisors (269408844).

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

164648052 is a wasteful number, since it uses less digits than its factorization.

164648052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 164648052 is about 12831.5257081923. The cubic root of 164648052 is about 548.0904045710.

The spelling of 164648052 in words is "one hundred sixty-four million, six hundred forty-eight thousand, fifty-two".