164335644 has 72 divisors (see below), whose sum is σ = 472897152. Its totient is φ = 47630880.

The previous prime is 164335643. The next prime is 164335649. The reversal of 164335644 is 446533461.

164335644 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 3 + 5 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 164335599 and 164335608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164335643) 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, 87 + ... + 18129.

It is an arithmetic number, because the mean of its divisors is an integer number (6568016).

Almost surely, 2^164335644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164335644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236448576).

164335644 is an abundant number, since it is smaller than the sum of its proper divisors (308561508).

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

164335644 is a wasteful number, since it uses less digits than its factorization.

164335644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18087 (or 18082 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 164335644 is about 12819.3464732021. The cubic root of 164335644 is about 547.7435308670.

The spelling of 164335644 in words is "one hundred sixty-four million, three hundred thirty-five thousand, six hundred forty-four".