164368638 has 72 divisors (see below), whose sum is σ = 417265992. Its totient is φ = 46624032.

The previous prime is 164368613. The next prime is 164368667. The reversal of 164368638 is 836863461.

164368638 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 6 + 8 + 638 = 666.

164368638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 164368593 and 164368602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 137881 + ... + 139067.

It is an arithmetic number, because the mean of its divisors is an integer number (5795361).

Almost surely, 2^164368638 is an apocalyptic number.

164368638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164368638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208632996).

164368638 is an abundant number, since it is smaller than the sum of its proper divisors (252897354).

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

164368638 is a wasteful number, since it uses less digits than its factorization.

164368638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1356 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 164368638 is about 12820.6332916904. The cubic root of 164368638 is about 547.7801856066.

The spelling of 164368638 in words is "one hundred sixty-four million, three hundred sixty-eight thousand, six hundred thirty-eight".