164573240 has 64 divisors (see below), whose sum is σ = 401103360. Its totient is φ = 60410880.

The previous prime is 164573197. The next prime is 164573251. The reversal of 164573240 is 42375461.

It is a junction number, because it is equal to n+sod(n) for n = 164573197 and 164573206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98492 + ... + 100148.

It is an arithmetic number, because the mean of its divisors is an integer number (6267240).

Almost surely, 2^164573240 is an apocalyptic number.

164573240 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 164573240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200551680).

164573240 is an abundant number, since it is smaller than the sum of its proper divisors (236530120).

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

164573240 is a wasteful number, since it uses less digits than its factorization.

164573240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 164573240 is about 12828.6102131135. The cubic root of 164573240 is about 548.0073790897.

The spelling of 164573240 in words is "one hundred sixty-four million, five hundred seventy-three thousand, two hundred forty".