164220540 has 96 divisors (see below), whose sum is σ = 509967360. Its totient is φ = 39148800.

The previous prime is 164220523. The next prime is 164220611. The reversal of 164220540 is 45022461.

It is a self number, because there is not a number n which added to its sum of digits gives 164220540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38221 + ... + 42299.

It is an arithmetic number, because the mean of its divisors is an integer number (5312160).

Almost surely, 2^164220540 is an apocalyptic number.

164220540 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 164220540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254983680).

164220540 is an abundant number, since it is smaller than the sum of its proper divisors (345746820).

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

164220540 is a wasteful number, since it uses less digits than its factorization.

164220540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 164220540 is about 12814.8562223694. The cubic root of 164220540 is about 547.6156174586.

The spelling of 164220540 in words is "one hundred sixty-four million, two hundred twenty thousand, five hundred forty".