164752420 has 96 divisors (see below), whose sum is σ = 419569920. Its totient is φ = 53084160.

The previous prime is 164752417. The next prime is 164752481. The reversal of 164752420 is 24257461.

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 31 ways as a sum of consecutive naturals, for example, 640932 + ... + 641188.

It is an arithmetic number, because the mean of its divisors is an integer number (4370520).

Almost surely, 2^164752420 is an apocalyptic number.

164752420 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 164752420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209784960).

164752420 is an abundant number, since it is smaller than the sum of its proper divisors (254817500).

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

164752420 is a wasteful number, since it uses less digits than its factorization.

164752420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 164752420 is about 12835.5919224631. The cubic root of 164752420 is about 548.2061889490.

The spelling of 164752420 in words is "one hundred sixty-four million, seven hundred fifty-two thousand, four hundred twenty".