162840 has 64 divisors (see below), whose sum is σ = 518400. Its totient is φ = 40832.

The previous prime is 162839. The next prime is 162847. The reversal of 162840 is 48261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2731 + ... + 2789.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2¹⁶²⁸⁴⁰ is an apocalyptic number.

162840 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 162840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200).

162840 is an abundant number, since it is smaller than the sum of its proper divisors (355560).

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

162840 is a wasteful number, since it uses less digits than its factorization.

162840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 162840 is about 403.5343851520. The cubic root of 162840 is about 54.6076764690.

The spelling of 162840 in words is "one hundred sixty-two thousand, eight hundred forty".