162282120 has 384 divisors, whose sum is σ = 668787840. Its totient is φ = 30965760.

The previous prime is 162282091. The next prime is 162282137. The reversal of 162282120 is 21282261.

It is a Cunningham number, because it is equal to 12739²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 840744 + ... + 840936.

It is an arithmetic number, because the mean of its divisors is an integer number (1741635).

Almost surely, 2^162282120 is an apocalyptic number.

162282120 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 162282120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334393920).

162282120 is an abundant number, since it is smaller than the sum of its proper divisors (506505720).

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

162282120 is a wasteful number, since it uses less digits than its factorization.

162282120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 162282120 is about 12738.9999607505. Note that the first 4 decimals coincide. The cubic root of 162282120 is about 545.4524425171.

It can be divided in two parts, 162 and 282120, that added together give a palindrome (282282).

The spelling of 162282120 in words is "one hundred sixty-two million, two hundred eighty-two thousand, one hundred twenty".