164633560 has 128 divisors (see below), whose sum is σ = 470937600. Its totient is φ = 50388480.

The previous prime is 164633533. The next prime is 164633561. The reversal of 164633560 is 65336461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164633561) 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 31 ways as a sum of consecutive naturals, for example, 112111 + ... + 113569.

It is an arithmetic number, because the mean of its divisors is an integer number (3679200).

Almost surely, 2^164633560 is an apocalyptic number.

164633560 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 164633560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235468800).

164633560 is an abundant number, since it is smaller than the sum of its proper divisors (306304040).

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

164633560 is a wasteful number, since it uses less digits than its factorization.

164633560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 164633560 is about 12830.9609928485. The cubic root of 164633560 is about 548.0743234835.

The spelling of 164633560 in words is "one hundred sixty-four million, six hundred thirty-three thousand, five hundred sixty".