164026368 has 144 divisors (see below), whose sum is σ = 517444200. Its totient is φ = 49643520.

The previous prime is 164026339. The next prime is 164026391. The reversal of 164026368 is 863620461.

164026368 is a `hidden beast` number, since 1 + 640 + 2 + 6 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202348 + ... + 203156.

Almost surely, 2^164026368 is an apocalyptic number.

164026368 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 164026368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258722100).

164026368 is an abundant number, since it is smaller than the sum of its proper divisors (353417832).

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

164026368 is a wasteful number, since it uses less digits than its factorization.

164026368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 164026368 is about 12807.2779309266. The cubic root of 164026368 is about 547.3997013994.

The spelling of 164026368 in words is "one hundred sixty-four million, twenty-six thousand, three hundred sixty-eight".