164515600 has 60 divisors (see below), whose sum is σ = 402005520. Its totient is φ = 64681600.

The previous prime is 164515583. The next prime is 164515607. The reversal of 164515600 is 6515461.

164515600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (164515607) 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 11 ways as a sum of consecutive naturals, for example, 20115 + ... + 27085.

It is an arithmetic number, because the mean of its divisors is an integer number (6700092).

Almost surely, 2^164515600 is an apocalyptic number.

164515600 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 164515600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201002760).

164515600 is an abundant number, since it is smaller than the sum of its proper divisors (237489920).

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

164515600 is a wasteful number, since it uses less digits than its factorization.

164515600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7048 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 164515600 is about 12826.3634752801. The cubic root of 164515600 is about 547.9433937303.

The spelling of 164515600 in words is "one hundred sixty-four million, five hundred fifteen thousand, six hundred".