164947200 has 324 divisors, whose sum is σ = 606773664. Its totient is φ = 39424000.

The previous prime is 164947163. The next prime is 164947201. The reversal of 164947200 is 2749461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164947201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2323165 + ... + 2323235.

Almost surely, 2^164947200 is an apocalyptic number.

164947200 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 164947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303386832).

164947200 is an abundant number, since it is smaller than the sum of its proper divisors (441826464).

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

164947200 is a wasteful number, since it uses less digits than its factorization.

164947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 164947200 is about 12843.1771770073. The cubic root of 164947200 is about 548.4221443984.

The spelling of 164947200 in words is "one hundred sixty-four million, nine hundred forty-seven thousand, two hundred".