164724540 has 48 divisors (see below), whose sum is σ = 464085888. Its totient is φ = 43654464.

The previous prime is 164724517. The next prime is 164724569. The reversal of 164724540 is 45427461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1359 + ... + 18201.

It is an arithmetic number, because the mean of its divisors is an integer number (9668456).

Almost surely, 2^164724540 is an apocalyptic number.

164724540 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 164724540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232042944).

164724540 is an abundant number, since it is smaller than the sum of its proper divisors (299361348).

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

164724540 is a wasteful number, since it uses less digits than its factorization.

164724540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17018 (or 17016 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 164724540 is about 12834.5058338839. The cubic root of 164724540 is about 548.1752640603.

It can be divided in two parts, 16472 and 4540, that added together give a palindrome (21012).

The spelling of 164724540 in words is "one hundred sixty-four million, seven hundred twenty-four thousand, five hundred forty".