164725600 has 144 divisors (see below), whose sum is σ = 443596608. Its totient is φ = 59351040.

The previous prime is 164725571. The next prime is 164725601. The reversal of 164725600 is 6527461.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164725601) 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 23 ways as a sum of consecutive naturals, for example, 488632 + ... + 488968.

It is an arithmetic number, because the mean of its divisors is an integer number (3080532).

Almost surely, 2^164725600 is an apocalyptic number.

164725600 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 164725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221798304).

164725600 is an abundant number, since it is smaller than the sum of its proper divisors (278871008).

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

164725600 is a wasteful number, since it uses less digits than its factorization.

164725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 164725600 is about 12834.5471287459. The cubic root of 164725600 is about 548.1764398910.

The spelling of 164725600 in words is "one hundred sixty-four million, seven hundred twenty-five thousand, six hundred".