52839600 has 120 divisors (see below), whose sum is σ = 184696512. Its totient is φ = 12806400.

The previous prime is 52839583. The next prime is 52839607. The reversal of 52839600 is 693825.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (52839607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11199 + ... + 15201.

Almost surely, 2^52839600 is an apocalyptic number.

52839600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52839600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92348256).

52839600 is an abundant number, since it is smaller than the sum of its proper divisors (131856912).

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

52839600 is a wasteful number, since it uses less digits than its factorization.

52839600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 52839600 is about 7269.0852244282. The cubic root of 52839600 is about 375.2492565087.

The spelling of 52839600 in words is "fifty-two million, eight hundred thirty-nine thousand, six hundred".