52107768 has 48 divisors (see below), whose sum is σ = 142927200. Its totient is φ = 17147520.

The previous prime is 52107763. The next prime is 52107779. The reversal of 52107768 is 86770125.

52107768 is a `hidden beast` number, since 521 + 0 + 77 + 68 = 666.

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 (52107763) 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, 1108 + ... + 10268.

It is an arithmetic number, because the mean of its divisors is an integer number (2977650).

Almost surely, 2^52107768 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 52107768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71463600).

52107768 is an abundant number, since it is smaller than the sum of its proper divisors (90819432).

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

52107768 is a wasteful number, since it uses less digits than its factorization.

52107768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9252 (or 9245 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 52107768 is about 7218.5710497300. The cubic root of 52107768 is about 373.5087872859.

The spelling of 52107768 in words is "fifty-two million, one hundred seven thousand, seven hundred sixty-eight".