53868768 has 48 divisors (see below), whose sum is σ = 144426240. Its totient is φ = 17572736.

The previous prime is 53868739. The next prime is 53868769. The reversal of 53868768 is 86786835.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 53868768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53868769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1458 + ... + 10481.

It is an arithmetic number, because the mean of its divisors is an integer number (3008880).

Almost surely, 2^53868768 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 53868768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72213120).

53868768 is an abundant number, since it is smaller than the sum of its proper divisors (90557472).

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

53868768 is a wasteful number, since it uses less digits than its factorization.

53868768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11999 (or 11991 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 53868768 is about 7339.5345901494. The cubic root of 53868768 is about 377.6698777841.

It can be divided in two parts, 53868 and 768, that multiplied together give a square (41370624 = 6432²).

The spelling of 53868768 in words is "fifty-three million, eight hundred sixty-eight thousand, seven hundred sixty-eight".