162400 has 72 divisors (see below), whose sum is σ = 468720. Its totient is φ = 53760.

The previous prime is 162391. The next prime is 162413. The reversal of 162400 is 4261.

162400 = T₉₁ + T₉₂ + ... + T₁₁₉.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5586 + ... + 5614.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2¹⁶²⁴⁰⁰ is an apocalyptic number.

162400 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 162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234360).

162400 is an abundant number, since it is smaller than the sum of its proper divisors (306320).

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

162400 is a wasteful number, since it uses less digits than its factorization.

162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 162400 is about 402.9888335922. The cubic root of 162400 is about 54.5584480830.

Adding to 162400 its reverse (4261), we get a palindrome (166661).

The spelling of 162400 in words is "one hundred sixty-two thousand, four hundred".