162256160 has 216 divisors, whose sum is σ = 463023540. Its totient is φ = 53616640.

The previous prime is 162256141. The next prime is 162256163. The reversal of 162256160 is 61652261.

It can be written as a sum of positive squares in 6 ways, for example, as 118113424 + 44142736 = 10868^2 + 6644^2 .

It is a super-2 number, since 2×162256160² = 52654122915891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (162256163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5595026 + ... + 5595054.

Almost surely, 2^162256160 is an apocalyptic number.

162256160 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 162256160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231511770).

162256160 is an abundant number, since it is smaller than the sum of its proper divisors (300767380).

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

162256160 is a wasteful number, since it uses less digits than its factorization.

162256160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 162256160 is about 12737.9810017129. The cubic root of 162256160 is about 545.4233559270.

The spelling of 162256160 in words is "one hundred sixty-two million, two hundred fifty-six thousand, one hundred sixty".