53288064 has 128 divisors (see below), whose sum is σ = 166708800. Its totient is φ = 16699392.

The previous prime is 53288063. The next prime is 53288077. The reversal of 53288064 is 46088235.

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 (53288063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58299 + ... + 59205.

Almost surely, 2^53288064 is an apocalyptic number.

53288064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83354400).

53288064 is an abundant number, since it is smaller than the sum of its proper divisors (113420736).

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

53288064 is a wasteful number, since it uses less digits than its factorization.

53288064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 53288064 is about 7299.8673960559. The cubic root of 53288064 is about 376.3078812216.

The spelling of 53288064 in words is "fifty-three million, two hundred eighty-eight thousand, sixty-four".