53823360 has 192 divisors, whose sum is σ = 184126320. Its totient is φ = 13369344.

The previous prime is 53823359. The next prime is 53823361. The reversal of 53823360 is 6332835.

It is an interprime number because it is at equal distance from previous prime (53823359) and next prime (53823361).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53823361) 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 23 ways as a sum of consecutive naturals, for example, 554832 + ... + 554928.

Almost surely, 2^53823360 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 53823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92063160).

53823360 is an abundant number, since it is smaller than the sum of its proper divisors (130302960).

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

53823360 is a wasteful number, since it uses less digits than its factorization.

53823360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 53823360 is about 7336.4405538381. The cubic root of 53823360 is about 377.5637305966.

The spelling of 53823360 in words is "fifty-three million, eight hundred twenty-three thousand, three hundred sixty".