53590880 has 96 divisors (see below), whose sum is σ = 147329280. Its totient is φ = 18040320.

The previous prime is 53590877. The next prime is 53590907. The reversal of 53590880 is 8809535.

53590880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 65675 + ... + 66485.

It is an arithmetic number, because the mean of its divisors is an integer number (1534680).

Almost surely, 2^53590880 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 53590880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73664640).

53590880 is an abundant number, since it is smaller than the sum of its proper divisors (93738400).

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

53590880 is a wasteful number, since it uses less digits than its factorization.

53590880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 53590880 is about 7320.5792120569. The cubic root of 53590880 is about 377.0193405918.

The spelling of 53590880 in words is "fifty-three million, five hundred ninety thousand, eight hundred eighty".