52887600 has 240 divisors, whose sum is σ = 193737600. Its totient is φ = 13697280.

The previous prime is 52887559. The next prime is 52887607. The reversal of 52887600 is 678825.

Added to its reverse (678825) it gives a triangular number (53566425 = T₁₀₃₅₀).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52887607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 637159 + ... + 637241.

It is an arithmetic number, because the mean of its divisors is an integer number (807240).

Almost surely, 2^52887600 is an apocalyptic number.

52887600 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 52887600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96868800).

52887600 is an abundant number, since it is smaller than the sum of its proper divisors (140850000).

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

52887600 is a wasteful number, since it uses less digits than its factorization.

52887600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 52887600 is about 7272.3861283625. The cubic root of 52887600 is about 375.3628487954.

Adding to 52887600 its reverse (678825), we get a triangular number (53566425 = T₁₀₃₅₀).

The spelling of 52887600 in words is "fifty-two million, eight hundred eighty-seven thousand, six hundred".