164444820 has 48 divisors (see below), whose sum is σ = 466287360. Its totient is φ = 43295616.

The previous prime is 164444767. The next prime is 164444821. The reversal of 164444820 is 28444461.

164444820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164444821) 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, 12607 + ... + 22086.

It is an arithmetic number, because the mean of its divisors is an integer number (9714320).

Almost surely, 2^164444820 is an apocalyptic number.

164444820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164444820 is an abundant number, since it is smaller than the sum of its proper divisors (301842540).

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

164444820 is a wasteful number, since it uses less digits than its factorization.

164444820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34784 (or 34782 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 164444820 is about 12823.6040175919. The cubic root of 164444820 is about 547.8648013928.

It can be divided in two parts, 1644 and 44820, that added together give a palindrome (46464).

The spelling of 164444820 in words is "one hundred sixty-four million, four hundred forty-four thousand, eight hundred twenty".