164243200 has 108 divisors (see below), whose sum is σ = 443674728. Its totient is φ = 59699200.

The previous prime is 164243179. The next prime is 164243203. The reversal of 164243200 is 2342461.

It is a happy number.

It is a super-3 number, since 3×164243200³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164243203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69234 + ... + 71566.

Almost surely, 2^164243200 is an apocalyptic number.

164243200 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 164243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221837364).

164243200 is an abundant number, since it is smaller than the sum of its proper divisors (279431528).

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

164243200 is a wasteful number, since it uses less digits than its factorization.

164243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 164243200 is about 12815.7403219635. The cubic root of 164243200 is about 547.6408039125.

Adding to 164243200 its reverse (2342461), we get a palindrome (166585661).

The spelling of 164243200 in words is "one hundred sixty-four million, two hundred forty-three thousand, two hundred".