164321700 has 72 divisors (see below), whose sum is σ = 490801920. Its totient is φ = 42403200.

The previous prime is 164321687. The next prime is 164321701. The reversal of 164321700 is 7123461.

164321700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (164321701) 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, 466 + ... + 18134.

Almost surely, 2^164321700 is an apocalyptic number.

164321700 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 164321700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245400960).

164321700 is an abundant number, since it is smaller than the sum of its proper divisors (326480220).

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

164321700 is a wasteful number, since it uses less digits than its factorization.

164321700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17717 (or 17710 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 164321700 is about 12818.8025961866. The cubic root of 164321700 is about 547.7280382819.

The spelling of 164321700 in words is "one hundred sixty-four million, three hundred twenty-one thousand, seven hundred".