164003020 has 48 divisors (see below), whose sum is σ = 359912448. Its totient is φ = 62700480.

The previous prime is 164003017. The next prime is 164003023. The reversal of 164003020 is 20300461.

164003020 = 46² + 47² + ... + 789².

It is an interprime number because it is at equal distance from previous prime (164003017) and next prime (164003023).

It is a junction number, because it is equal to n+sod(n) for n = 164002985 and 164003003.

It is not an unprimeable number, because it can be changed into a prime (164003023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49867 + ... + 53053.

It is an arithmetic number, because the mean of its divisors is an integer number (7498176).

Almost surely, 2^164003020 is an apocalyptic number.

164003020 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 164003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179956224).

164003020 is an abundant number, since it is smaller than the sum of its proper divisors (195909428).

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

164003020 is a wasteful number, since it uses less digits than its factorization.

164003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 164003020 is about 12806.3663855131. The cubic root of 164003020 is about 547.3737273342.

Adding to 164003020 its reverse (20300461), we get a palindrome (184303481).

The spelling of 164003020 in words is "one hundred sixty-four million, three thousand, twenty".