164363200 has 84 divisors (see below), whose sum is σ = 414014920. Its totient is φ = 64189440.

The previous prime is 164363197. The next prime is 164363201. The reversal of 164363200 is 2363461.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164363201) 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, 67606 + ... + 69994.

Almost surely, 2^164363200 is an apocalyptic number.

164363200 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 164363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207007460).

164363200 is an abundant number, since it is smaller than the sum of its proper divisors (249651720).

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

164363200 is a wasteful number, since it uses less digits than its factorization.

164363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 164363200 is about 12820.4212099291. The cubic root of 164363200 is about 547.7741445890.

The spelling of 164363200 in words is "one hundred sixty-four million, three hundred sixty-three thousand, two hundred".