162056800 has 72 divisors (see below), whose sum is σ = 398318256. Its totient is φ = 64381440.

The previous prime is 162056789. The next prime is 162056821. The reversal of 162056800 is 8650261.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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, 132994 + ... + 134206.

It is an arithmetic number, because the mean of its divisors is an integer number (5532198).

Almost surely, 2^162056800 is an apocalyptic number.

162056800 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 162056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199159128).

162056800 is an abundant number, since it is smaller than the sum of its proper divisors (236261456).

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

162056800 is a wasteful number, since it uses less digits than its factorization.

162056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 162056800 is about 12730.1531805395. The cubic root of 162056800 is about 545.1998817937.

It can be divided in two parts, 16205 and 6800, that added together give a triangular number (23005 = T₂₁₄).

The spelling of 162056800 in words is "one hundred sixty-two million, fifty-six thousand, eight hundred".