162953856 has 288 divisors, whose sum is σ = 543553920. Its totient is φ = 48522240.

The previous prime is 162953851. The next prime is 162953863. The reversal of 162953856 is 658359261.

162953856 is a `hidden beast` number, since 1 + 62 + 9 + 538 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (162953851) 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, 5256561 + ... + 5256591.

It is an arithmetic number, because the mean of its divisors is an integer number (1887340).

Almost surely, 2^162953856 is an apocalyptic number.

162953856 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 162953856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271776960).

162953856 is an abundant number, since it is smaller than the sum of its proper divisors (380600064).

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

162953856 is an equidigital number, since it uses as much as digits as its factorization.

162953856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 49 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 162953856 is about 12765.3380683788. The cubic root of 162953856 is about 546.2040053993.

The spelling of 162953856 in words is "one hundred sixty-two million, nine hundred fifty-three thousand, eight hundred fifty-six".