52760160 has 288 divisors, whose sum is σ = 198132480. Its totient is φ = 13229568.

The previous prime is 52760159. The next prime is 52760161. The reversal of 52760160 is 6106725.

52760160 is a `hidden beast` number, since 52 + 7 + 601 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52760159) and next prime (52760161).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52760161) 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, 894211 + ... + 894269.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^52760160 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 52760160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

52760160 is an abundant number, since it is smaller than the sum of its proper divisors (145372320).

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

52760160 is a wasteful number, since it uses less digits than its factorization.

52760160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 92 counting only the distinct ones).

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

The square root of 52760160 is about 7263.6189327359. The cubic root of 52760160 is about 375.0611100410.

Adding to 52760160 its reverse (6106725), we get a palindrome (58866885).

The spelling of 52760160 in words is "fifty-two million, seven hundred sixty thousand, one hundred sixty".