162656 has 48 divisors (see below), whose sum is σ = 381024. Its totient is φ = 67584.

The previous prime is 162649. The next prime is 162671. The reversal of 162656 is 656261.

162656 = T₅₃ + T₅₄ + ... + T₁₀₃.

162656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7061 + ... + 7083.

It is an arithmetic number, because the mean of its divisors is an integer number (7938).

2¹⁶²⁶⁵⁶ is an apocalyptic number.

162656 is a gapful number since it is divisible by the number (16) 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 162656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512).

162656 is an abundant number, since it is smaller than the sum of its proper divisors (218368).

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

162656 is a wasteful number, since it uses less digits than its factorization.

162656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 55 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 162656 is about 403.3063351846. The cubic root of 162656 is about 54.5871008542.

It can be divided in two parts, 162 and 656, that added together give a palindrome (818).

The spelling of 162656 in words is "one hundred sixty-two thousand, six hundred fifty-six".