164104440 has 64 divisors (see below), whose sum is σ = 499685760. Its totient is φ = 43105920.

The previous prime is 164104411. The next prime is 164104459. The reversal of 164104440 is 44401461.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 164104440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2166 + ... + 18245.

It is an arithmetic number, because the mean of its divisors is an integer number (7807590).

Almost surely, 2^164104440 is an apocalyptic number.

164104440 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 164104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249842880).

164104440 is an abundant number, since it is smaller than the sum of its proper divisors (335581320).

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

164104440 is a wasteful number, since it uses less digits than its factorization.

164104440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20492 (or 20488 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 164104440 is about 12810.3255227961. The cubic root of 164104440 is about 547.4865366469.

The spelling of 164104440 in words is "one hundred sixty-four million, one hundred four thousand, four hundred forty".