53318880 has 144 divisors (see below), whose sum is σ = 185238144. Its totient is φ = 13962240.

The previous prime is 53318873. The next prime is 53318891. The reversal of 53318880 is 8881335.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87537 + ... + 88143.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^53318880 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 53318880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92619072).

53318880 is an abundant number, since it is smaller than the sum of its proper divisors (131919264).

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

53318880 is a wasteful number, since it uses less digits than its factorization.

53318880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 53318880 is about 7301.9778142637. The cubic root of 53318880 is about 376.3804057119.

The spelling of 53318880 in words is "fifty-three million, three hundred eighteen thousand, eight hundred eighty".