53058720 has 192 divisors, whose sum is σ = 196608384. Its totient is φ = 11857920.

The previous prime is 53058679. The next prime is 53058721. The reversal of 53058720 is 2785035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (53058721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68254 + ... + 69026.

It is an arithmetic number, because the mean of its divisors is an integer number (1024002).

Almost surely, 2^53058720 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 53058720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98304192).

53058720 is an abundant number, since it is smaller than the sum of its proper divisors (143549664).

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

53058720 is a wasteful number, since it uses less digits than its factorization.

53058720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 53058720 is about 7284.1416790175. The cubic root of 53058720 is about 375.7672469263.

The spelling of 53058720 in words is "fifty-three million, fifty-eight thousand, seven hundred twenty".