52768600 has 24 divisors (see below), whose sum is σ = 122687460. Its totient is φ = 21107360.

The previous prime is 52768589. The next prime is 52768607. The reversal of 52768600 is 686725.

52768600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52768607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131722 + ... + 132121.

Almost surely, 2^52768600 is an apocalyptic number.

52768600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52768600 is an abundant number, since it is smaller than the sum of its proper divisors (69918860).

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

52768600 is a wasteful number, since it uses less digits than its factorization.

52768600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263859 (or 263850 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 52768600 is about 7264.1998871176. The cubic root of 52768600 is about 375.0811083818.

The spelling of 52768600 in words is "fifty-two million, seven hundred sixty-eight thousand, six hundred".