164097864 has 144 divisors (see below), whose sum is σ = 521827020. Its totient is φ = 46448640.

The previous prime is 164097859. The next prime is 164097917. The reversal of 164097864 is 468790461.

It can be written as a sum of positive squares in 2 ways, for example, as 164096100 + 1764 = 12810^2 + 42^2 .

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, 680784 + ... + 681024.

Almost surely, 2^164097864 is an apocalyptic number.

164097864 is a gapful number since it is divisible by the number (14) 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 164097864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260913510).

164097864 is an abundant number, since it is smaller than the sum of its proper divisors (357729156).

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

164097864 is a wasteful number, since it uses less digits than its factorization.

164097864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 164097864 is about 12810.0688522740. The cubic root of 164097864 is about 547.4792235814.

The spelling of 164097864 in words is "one hundred sixty-four million, ninety-seven thousand, eight hundred sixty-four".