172960564 has 48 divisors (see below), whose sum is σ = 355848192. Its totient is φ = 72022752.

The previous prime is 172960549. The next prime is 172960573. The reversal of 172960564 is 465069271.

172960564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 219379 + ... + 220165.

It is an arithmetic number, because the mean of its divisors is an integer number (7413504).

Almost surely, 2^172960564 is an apocalyptic number.

172960564 is a gapful number since it is divisible by the number (14) 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 172960564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177924096).

172960564 is an abundant number, since it is smaller than the sum of its proper divisors (182887628).

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

172960564 is a wasteful number, since it uses less digits than its factorization.

172960564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 172960564 is about 13151.4472207434. The cubic root of 172960564 is about 557.1631233103.

The spelling of 172960564 in words is "one hundred seventy-two million, nine hundred sixty thousand, five hundred sixty-four".