164321400 has 96 divisors (see below), whose sum is σ = 520323840. Its totient is φ = 42879360.

The previous prime is 164321389. The next prime is 164321401. The reversal of 164321400 is 4123461.

164321400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164321401) 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, 25287 + ... + 31113.

It is an arithmetic number, because the mean of its divisors is an integer number (5420040).

Almost surely, 2^164321400 is an apocalyptic number.

164321400 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 164321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260161920).

164321400 is an abundant number, since it is smaller than the sum of its proper divisors (356002440).

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

164321400 is a wasteful number, since it uses less digits than its factorization.

164321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 164321400 is about 12818.7908946203. The cubic root of 164321400 is about 547.7277049551.

Adding to 164321400 its reverse (4123461), we get a palindrome (168444861).

The spelling of 164321400 in words is "one hundred sixty-four million, three hundred twenty-one thousand, four hundred".