164462200 has 96 divisors (see below), whose sum is σ = 442828800. Its totient is φ = 55635840.

The previous prime is 164462191. The next prime is 164462201. The reversal of 164462200 is 2264461.

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 (164462201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109857 + ... + 111343.

It is an arithmetic number, because the mean of its divisors is an integer number (4612800).

Almost surely, 2^164462200 is an apocalyptic number.

164462200 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 164462200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221414400).

164462200 is an abundant number, since it is smaller than the sum of its proper divisors (278366600).

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

164462200 is a wasteful number, since it uses less digits than its factorization.

164462200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 164462200 is about 12824.2816562956. The cubic root of 164462200 is about 547.8841017976.

The spelling of 164462200 in words is "one hundred sixty-four million, four hundred sixty-two thousand, two hundred".