162540 has 96 divisors (see below), whose sum is σ = 591360. Its totient is φ = 36288.

The previous prime is 162529. The next prime is 162553. The reversal of 162540 is 45261.

It is a happy number.

162540 is a `hidden beast` number, since 1 + 625 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 162540.

It is an unprimeable number.

162540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3759 + ... + 3801.

It is an arithmetic number, because the mean of its divisors is an integer number (6160).

2¹⁶²⁵⁴⁰ is an apocalyptic number.

162540 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 162540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295680).

162540 is an abundant number, since it is smaller than the sum of its proper divisors (428820).

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

162540 is a wasteful number, since it uses less digits than its factorization.

162540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 162540 is about 403.1624982560. The cubic root of 162540 is about 54.5741212950.

It can be divided in two parts, 16 and 2540, that added together give a triangular number (2556 = T₇₁).

The spelling of 162540 in words is "one hundred sixty-two thousand, five hundred forty".