52585680 has 160 divisors (see below), whose sum is σ = 188630784. Its totient is φ = 11870208.

The previous prime is 52585679. The next prime is 52585681. The reversal of 52585680 is 8658525.

It is an interprime number because it is at equal distance from previous prime (52585679) and next prime (52585681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52585681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189702 + ... + 189978.

Almost surely, 2^52585680 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 52585680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94315392).

52585680 is an abundant number, since it is smaller than the sum of its proper divisors (136045104).

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

52585680 is a wasteful number, since it uses less digits than its factorization.

52585680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 52585680 is about 7251.5984444811. The cubic root of 52585680 is about 374.6472059789.

The spelling of 52585680 in words is "fifty-two million, five hundred eighty-five thousand, six hundred eighty".