164801820 has 48 divisors (see below), whose sum is σ = 485735040. Its totient is φ = 41633856.

The previous prime is 164801731. The next prime is 164801827. The reversal of 164801820 is 28108461.

164801820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164801827) 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, 71142 + ... + 73421.

It is an arithmetic number, because the mean of its divisors is an integer number (10119480).

Almost surely, 2^164801820 is an apocalyptic number.

164801820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164801820 is an abundant number, since it is smaller than the sum of its proper divisors (320933220).

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

164801820 is a wasteful number, since it uses less digits than its factorization.

164801820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144594 (or 144592 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 164801820 is about 12837.5161148876. The cubic root of 164801820 is about 548.2609755584.

The spelling of 164801820 in words is "one hundred sixty-four million, eight hundred one thousand, eight hundred twenty".