53083680 has 192 divisors, whose sum is σ = 184923648. Its totient is φ = 12718080.

The previous prime is 53083669. The next prime is 53083697. The reversal of 53083680 is 8638035.

53083680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 293190 + ... + 293370.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 2^53083680 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 53083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824).

53083680 is an abundant number, since it is smaller than the sum of its proper divisors (131839968).

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

53083680 is a wasteful number, since it uses less digits than its factorization.

53083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 53083680 is about 7285.8547885612. The cubic root of 53083680 is about 375.8261607746.

The spelling of 53083680 in words is "fifty-three million, eighty-three thousand, six hundred eighty".