53730880 has 168 divisors, whose sum is σ = 157203648. Its totient is φ = 17129472.

The previous prime is 53730839. The next prime is 53730893. The reversal of 53730880 is 8803735.

53730880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 23 ways as a sum of consecutive naturals, for example, 647319 + ... + 647401.

It is an arithmetic number, because the mean of its divisors is an integer number (935736).

Almost surely, 2^53730880 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 53730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78601824).

53730880 is an abundant number, since it is smaller than the sum of its proper divisors (103472768).

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

53730880 is a wasteful number, since it uses less digits than its factorization.

53730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 53730880 is about 7330.1350601473. The cubic root of 53730880 is about 377.3473616492.

The spelling of 53730880 in words is "fifty-three million, seven hundred thirty thousand, eight hundred eighty".