164242560 has 128 divisors (see below), whose sum is σ = 528327360. Its totient is φ = 43397120.

The previous prime is 164242543. The next prime is 164242571. The reversal of 164242560 is 65242461.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251194 + ... + 251846.

Almost surely, 2^164242560 is an apocalyptic number.

164242560 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 164242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264163680).

164242560 is an abundant number, since it is smaller than the sum of its proper divisors (364084800).

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

164242560 is a wasteful number, since it uses less digits than its factorization.

164242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 164242560 is about 12815.7153526442. The cubic root of 164242560 is about 547.6400925882.

Subtracting from 164242560 its reverse (65242461), we obtain a palindrome (99000099).

The spelling of 164242560 in words is "one hundred sixty-four million, two hundred forty-two thousand, five hundred sixty".