164349720 has 144 divisors (see below), whose sum is σ = 559016640. Its totient is φ = 41872512.

The previous prime is 164349683. The next prime is 164349733. The reversal of 164349720 is 27943461.

164349720 is a `hidden beast` number, since 1 + 643 + 4 + 9 + 7 + 2 + 0 = 666.

164349720 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 nialpdrome in base 15.

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, 190009 + ... + 190871.

It is an arithmetic number, because the mean of its divisors is an integer number (3882060).

Almost surely, 2^164349720 is an apocalyptic number.

164349720 is a gapful number since it is divisible by the number (10) 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 164349720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279508320).

164349720 is an abundant number, since it is smaller than the sum of its proper divisors (394666920).

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

164349720 is a wasteful number, since it uses less digits than its factorization.

164349720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 164349720 is about 12819.8954753929. The cubic root of 164349720 is about 547.7591692228.

The spelling of 164349720 in words is "one hundred sixty-four million, three hundred forty-nine thousand, seven hundred twenty".