164023800 has 96 divisors (see below), whose sum is σ = 510436080. Its totient is φ = 43571200.

The previous prime is 164023781. The next prime is 164023807. The reversal of 164023800 is 8320461.

It is a happy number.

164023800 is digitally balanced in base 3, 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164023807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276304 + ... + 276896.

Almost surely, 2^164023800 is an apocalyptic number.

164023800 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 164023800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255218040).

164023800 is an abundant number, since it is smaller than the sum of its proper divisors (346412280).

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

164023800 is a wasteful number, since it uses less digits than its factorization.

164023800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 164023800 is about 12807.1776750383. The cubic root of 164023800 is about 547.3968446843.

It can be divided in two parts, 16402 and 3800, that added together give a palindrome (20202).

The spelling of 164023800 in words is "one hundred sixty-four million, twenty-three thousand, eight hundred".