53748864 has 192 divisors, whose sum is σ = 172830840. Its totient is φ = 15925248.

The previous prime is 53748841. The next prime is 53748899. The reversal of 53748864 is 46884735.

It can be written as a sum of positive squares in 4 ways, for example, as 46131264 + 7617600 = 6792^2 + 2760^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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, 554064 + ... + 554160.

Almost surely, 2^53748864 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 53748864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86415420).

53748864 is an abundant number, since it is smaller than the sum of its proper divisors (119081976).

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

53748864 is a wasteful number, since it uses less digits than its factorization.

53748864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 152 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 53748864 is about 7331.3616743413. The cubic root of 53748864 is about 377.3894569828.

The spelling of 53748864 in words is "fifty-three million, seven hundred forty-eight thousand, eight hundred sixty-four".