162800 has 60 divisors (see below), whose sum is σ = 438216. Its totient is φ = 57600.

The previous prime is 162791. The next prime is 162821. The reversal of 162800 is 8261.

It is a congruent number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 4382 + ... + 4418.

2¹⁶²⁸⁰⁰ is an apocalyptic number.

162800 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 162800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219108).

162800 is an abundant number, since it is smaller than the sum of its proper divisors (275416).

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

162800 is a wasteful number, since it uses less digits than its factorization.

162800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 162800 is about 403.4848200366. The cubic root of 162800 is about 54.6032048283.

It can be divided in two parts, 162 and 800, that multiplied together give a square (129600 = 360²).

The spelling of 162800 in words is "one hundred sixty-two thousand, eight hundred".