52761600 has 198 divisors, whose sum is σ = 189736430. Its totient is φ = 14008320.

The previous prime is 52761587. The next prime is 52761607. The reversal of 52761600 is 616725.

52761600 is a `hidden beast` number, since 52 + 7 + 6 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12616704 + 40144896 = 3552^2 + 6336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52761607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230286 + ... + 230514.

Almost surely, 2^52761600 is an apocalyptic number.

52761600 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 52761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94868215).

52761600 is an abundant number, since it is smaller than the sum of its proper divisors (136974830).

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

52761600 is a wasteful number, since it uses less digits than its factorization.

52761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 52761600 is about 7263.7180562023. The cubic root of 52761600 is about 375.0645222310.

It can be divided in two parts, 52761 and 600, that added together give a square (53361 = 231²).

The spelling of 52761600 in words is "fifty-two million, seven hundred sixty-one thousand, six hundred".