53684120 has 64 divisors (see below), whose sum is σ = 145324800. Its totient is φ = 17435520.

The previous prime is 53684083. The next prime is 53684143. The reversal of 53684120 is 2148635.

53684120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 275 + ... + 10365.

It is an arithmetic number, because the mean of its divisors is an integer number (2270700).

Almost surely, 2^53684120 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 53684120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72662400).

53684120 is an abundant number, since it is smaller than the sum of its proper divisors (91640680).

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

53684120 is a wasteful number, since it uses less digits than its factorization.

53684120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10128 (or 10124 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 53684120 is about 7326.9447930225. The cubic root of 53684120 is about 377.2378660566.

The spelling of 53684120 in words is "fifty-three million, six hundred eighty-four thousand, one hundred twenty".