164700 has 72 divisors (see below), whose sum is σ = 538160. Its totient is φ = 43200.

The previous prime is 164683. The next prime is 164701. The reversal of 164700 is 7461.

164700 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164701) 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, 2670 + ... + 2730.

2¹⁶⁴⁷⁰⁰ is an apocalyptic number.

164700 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 164700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269080).

164700 is an abundant number, since it is smaller than the sum of its proper divisors (373460).

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

164700 is a wasteful number, since it uses less digits than its factorization.

164700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 164700 is about 405.8324777541. The cubic root of 164700 is about 54.8148041059.

The spelling of 164700 in words is "one hundred sixty-four thousand, seven hundred".