164265600 has 192 divisors, whose sum is σ = 550946880. Its totient is φ = 43008000.

The previous prime is 164265589. The next prime is 164265601. The reversal of 164265600 is 6562461.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164265601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 681480 + ... + 681720.

It is an arithmetic number, because the mean of its divisors is an integer number (2869515).

Almost surely, 2^164265600 is an apocalyptic number.

164265600 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 164265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275473440).

164265600 is an abundant number, since it is smaller than the sum of its proper divisors (386681280).

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

164265600 is a wasteful number, since it uses less digits than its factorization.

164265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 164265600 is about 12816.6142174913. The cubic root of 164265600 is about 547.6656991012.

The spelling of 164265600 in words is "one hundred sixty-four million, two hundred sixty-five thousand, six hundred".