164393712 has 100 divisors (see below), whose sum is σ = 543804976. Its totient is φ = 46967040.

The previous prime is 164393699. The next prime is 164393729. The reversal of 164393712 is 217393461.

164393712 is a `hidden beast` number, since 1 + 643 + 9 + 3 + 7 + 1 + 2 = 666.

164393712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 19 ways as a sum of consecutive naturals, for example, 12 + ... + 18132.

Almost surely, 2^164393712 is an apocalyptic number.

164393712 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 164393712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271902488).

164393712 is an abundant number, since it is smaller than the sum of its proper divisors (379411264).

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

164393712 is a wasteful number, since it uses less digits than its factorization.

164393712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18148 (or 18133 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 164393712 is about 12821.6111312112. The cubic root of 164393712 is about 547.8080383288.

The spelling of 164393712 in words is "one hundred sixty-four million, three hundred ninety-three thousand, seven hundred twelve".