164505600 has 576 divisors, whose sum is σ = 731203200. Its totient is φ = 35389440.

The previous prime is 164505577. The next prime is 164505613. The reversal of 164505600 is 6505461.

It is a happy number.

164505600 is a `hidden beast` number, since 1 + 6 + 4 + 50 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9676792 + ... + 9676808.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^164505600 is an apocalyptic number.

164505600 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 164505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365601600).

164505600 is an abundant number, since it is smaller than the sum of its proper divisors (566697600).

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

164505600 is a wasteful number, since it uses less digits than its factorization.

164505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 164505600 is about 12825.9736472519. The cubic root of 164505600 is about 547.9322913486.

The spelling of 164505600 in words is "one hundred sixty-four million, five hundred five thousand, six hundred".