53068064 has 96 divisors (see below), whose sum is σ = 129467520. Its totient is φ = 20901888.

The previous prime is 53068039. The next prime is 53068079. The reversal of 53068064 is 46086035.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 53068064.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157304 + ... + 157640.

It is an arithmetic number, because the mean of its divisors is an integer number (1348620).

Almost surely, 2^53068064 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 53068064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64733760).

53068064 is an abundant number, since it is smaller than the sum of its proper divisors (76399456).

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

53068064 is a wasteful number, since it uses less digits than its factorization.

53068064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 53068064 is about 7284.7830441270. The cubic root of 53068064 is about 375.7893040174.

The spelling of 53068064 in words is "fifty-three million, sixty-eight thousand, sixty-four".