162724560 has 80 divisors (see below), whose sum is σ = 505729536. Its totient is φ = 43282944.

The previous prime is 162724559. The next prime is 162724579. The reversal of 162724560 is 65427261.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 145122 + ... + 146238.

Almost surely, 2^162724560 is an apocalyptic number.

162724560 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 162724560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252864768).

162724560 is an abundant number, since it is smaller than the sum of its proper divisors (343004976).

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

162724560 is a wasteful number, since it uses less digits than its factorization.

162724560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 162724560 is about 12756.3537109944. The cubic root of 162724560 is about 545.9476932006.

The spelling of 162724560 in words is "one hundred sixty-two million, seven hundred twenty-four thousand, five hundred sixty".