52638120 has 256 divisors, whose sum is σ = 192844800. Its totient is φ = 12718080.

The previous prime is 52638119. The next prime is 52638139. The reversal of 52638120 is 2183625.

52638120 is a `hidden beast` number, since 5 + 2 + 638 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 862890 + ... + 862950.

It is an arithmetic number, because the mean of its divisors is an integer number (753300).

Almost surely, 2^52638120 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 52638120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96422400).

52638120 is an abundant number, since it is smaller than the sum of its proper divisors (140206680).

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

52638120 is a wasteful number, since it uses less digits than its factorization.

52638120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 52638120 is about 7255.2132980361. The cubic root of 52638120 is about 374.7717010404.

The spelling of 52638120 in words is "fifty-two million, six hundred thirty-eight thousand, one hundred twenty".