164099712 has 128 divisors (see below), whose sum is σ = 510652800. Its totient is φ = 45711360.

The previous prime is 164099707. The next prime is 164099717. The reversal of 164099712 is 217990461.

164099712 is digitally balanced in base 2, 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 (164099707) and next prime (164099717).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (164099717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109464 + ... + 110952.

It is an arithmetic number, because the mean of its divisors is an integer number (3989475).

Almost surely, 2^164099712 is an apocalyptic number.

164099712 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 164099712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255326400).

164099712 is an abundant number, since it is smaller than the sum of its proper divisors (346553088).

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

164099712 is a wasteful number, since it uses less digits than its factorization.

164099712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 164099712 is about 12810.1409828308. The cubic root of 164099712 is about 547.4812787327.

The spelling of 164099712 in words is "one hundred sixty-four million, ninety-nine thousand, seven hundred twelve".