162585360 has 160 divisors (see below), whose sum is σ = 640078080. Its totient is φ = 37158912.

The previous prime is 162585341. The next prime is 162585383. The reversal of 162585360 is 63585261.

162585360 is a `hidden beast` number, since 16 + 2 + 585 + 3 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9744 + ... + 20496.

It is an arithmetic number, because the mean of its divisors is an integer number (4000488).

Almost surely, 2^162585360 is an apocalyptic number.

162585360 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 162585360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320039040).

162585360 is an abundant number, since it is smaller than the sum of its proper divisors (477492720).

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

162585360 is a wasteful number, since it uses less digits than its factorization.

162585360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10782 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 162585360 is about 12750.8964390744. The cubic root of 162585360 is about 545.7919748526.

Subtracting from 162585360 its reverse (63585261), we obtain a palindrome (99000099).

The spelling of 162585360 in words is "one hundred sixty-two million, five hundred eighty-five thousand, three hundred sixty".