164572560 has 200 divisors, whose sum is σ = 579304440. Its totient is φ = 43296768.

The previous prime is 164572543. The next prime is 164572561. The reversal of 164572560 is 65275461.

It is a happy number.

164572560 is a `hidden beast` number, since 1 + 645 + 7 + 2 + 5 + 6 + 0 = 666.

164572560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11209104 + 153363456 = 3348^2 + 12384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (164572561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 706204 + ... + 706436.

Almost surely, 2^164572560 is an apocalyptic number.

164572560 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 164572560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289652220).

164572560 is an abundant number, since it is smaller than the sum of its proper divisors (414731880).

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

164572560 is a wasteful number, since it uses less digits than its factorization.

164572560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 164572560 is about 12828.5837098255. The cubic root of 164572560 is about 548.0066243183.

The spelling of 164572560 in words is "one hundred sixty-four million, five hundred seventy-two thousand, five hundred sixty".