53930880 has 128 divisors (see below), whose sum is σ = 191066400. Its totient is φ = 14376960.

The previous prime is 53930861. The next prime is 53930881. The reversal of 53930880 is 8803935.

53930880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53930881) by changing a digit.

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, 15720 + ... + 18840.

Almost surely, 2^53930880 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 53930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95533200).

53930880 is an abundant number, since it is smaller than the sum of its proper divisors (137135520).

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

53930880 is a wasteful number, since it uses less digits than its factorization.

53930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 53930880 is about 7343.7647021129. The cubic root of 53930880 is about 377.8149762166.

The spelling of 53930880 in words is "fifty-three million, nine hundred thirty thousand, eight hundred eighty".