164287200 has 432 divisors, whose sum is σ = 683956224. Its totient is φ = 33868800.

The previous prime is 164287187. The next prime is 164287247. The reversal of 164287200 is 2782461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1293537 + ... + 1293663.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 2^164287200 is an apocalyptic number.

164287200 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 164287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341978112).

164287200 is an abundant number, since it is smaller than the sum of its proper divisors (519669024).

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

164287200 is a wasteful number, since it uses less digits than its factorization.

164287200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 164287200 is about 12817.4568460362. The cubic root of 164287200 is about 547.6897030327.

The spelling of 164287200 in words is "one hundred sixty-four million, two hundred eighty-seven thousand, two hundred".