53823168 has 126 divisors (see below), whose sum is σ = 179556156. Its totient is φ = 15369984.

The previous prime is 53823149. The next prime is 53823169. The reversal of 53823168 is 86132835.

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53823169) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 27271 + ... + 29177.

Almost surely, 2^53823168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53823168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89778078).

53823168 is an abundant number, since it is smaller than the sum of its proper divisors (125732988).

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

53823168 is a wasteful number, since it uses less digits than its factorization.

53823168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1919 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 53823168 is about 7336.4274684617. The cubic root of 53823168 is about 377.5632816445.

The spelling of 53823168 in words is "fifty-three million, eight hundred twenty-three thousand, one hundred sixty-eight".