53037648 has 60 divisors (see below), whose sum is σ = 149359860. Its totient is φ = 17568768.

The previous prime is 53037643. The next prime is 53037659. The reversal of 53037648 is 84673035.

It is a happy number.

53037648 is a `hidden beast` number, since 5 + 3 + 0 + 3 + 7 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32353344 + 20684304 = 5688^2 + 4548^2 .

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 (53037643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23848 + ... + 25976.

It is an arithmetic number, because the mean of its divisors is an integer number (2489331).

Almost surely, 2^53037648 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 53037648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74679930).

53037648 is an abundant number, since it is smaller than the sum of its proper divisors (96322212).

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

53037648 is a wasteful number, since it uses less digits than its factorization.

53037648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 53037648 is about 7282.6951055224. The cubic root of 53037648 is about 375.7174956577.

The spelling of 53037648 in words is "fifty-three million, thirty-seven thousand, six hundred forty-eight".