52814160 has 240 divisors, whose sum is σ = 212040000. Its totient is φ = 12047616.

The previous prime is 52814159. The next prime is 52814221. The reversal of 52814160 is 6141825.

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 (27).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 105591 + ... + 106089.

It is an arithmetic number, because the mean of its divisors is an integer number (883500).

Almost surely, 2^52814160 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 52814160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106020000).

52814160 is an abundant number, since it is smaller than the sum of its proper divisors (159225840).

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

52814160 is a wasteful number, since it uses less digits than its factorization.

52814160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 52814160 is about 7267.3351374489. The cubic root of 52814160 is about 375.1890247031.

Adding to 52814160 its reverse (6141825), we get a palindrome (58955985).

The spelling of 52814160 in words is "fifty-two million, eight hundred fourteen thousand, one hundred sixty".