164947020 has 96 divisors (see below), whose sum is σ = 529632768. Its totient is φ = 37573632.

The previous prime is 164946997. The next prime is 164947021. The reversal of 164947020 is 20749461.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (164947021) by changing a digit.

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, 181407 + ... + 182313.

It is an arithmetic number, because the mean of its divisors is an integer number (5517008).

Almost surely, 2^164947020 is an apocalyptic number.

164947020 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 164947020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264816384).

164947020 is an abundant number, since it is smaller than the sum of its proper divisors (364685748).

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

164947020 is a wasteful number, since it uses less digits than its factorization.

164947020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 164947020 is about 12843.1701693935. The cubic root of 164947020 is about 548.4219449083.

The spelling of 164947020 in words is "one hundred sixty-four million, nine hundred forty-seven thousand, twenty".