164108736 has 168 divisors, whose sum is σ = 523036800. Its totient is φ = 48775680.

The previous prime is 164108731. The next prime is 164108741. The reversal of 164108736 is 637801461.

164108736 is a `hidden beast` number, since 1 + 641 + 0 + 8 + 7 + 3 + 6 = 666.

164108736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164108731) and next prime (164108741).

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

It is a self number, because there is not a number n which added to its sum of digits gives 164108736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164108731) 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, 373605 + ... + 374043.

Almost surely, 2^164108736 is an apocalyptic number.

164108736 is a gapful number since it is divisible by the number (16) 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 164108736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261518400).

164108736 is an abundant number, since it is smaller than the sum of its proper divisors (358928064).

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

164108736 is a wasteful number, since it uses less digits than its factorization.

164108736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 164108736 is about 12810.4931989366. The cubic root of 164108736 is about 547.4913140550.

It can be divided in two parts, 164 and 108736, that added together give a square (108900 = 330²).

The spelling of 164108736 in words is "one hundred sixty-four million, one hundred eight thousand, seven hundred thirty-six".