162888 has 32 divisors (see below), whose sum is σ = 444960. Its totient is φ = 49280.

The previous prime is 162881. The next prime is 162889. The reversal of 162888 is 888261.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 162888.

It is not an unprimeable number, because it can be changed into a prime (162881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (13905).

2¹⁶²⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222480).

162888 is an abundant number, since it is smaller than the sum of its proper divisors (282072).

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

162888 is a wasteful number, since it uses less digits than its factorization.

162888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 633 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 162888 is about 403.5938552555. The cubic root of 162888 is about 54.6130414714.

The spelling of 162888 in words is "one hundred sixty-two thousand, eight hundred eighty-eight".