52686000 has 120 divisors (see below), whose sum is σ = 184077504. Its totient is φ = 14044800.

The previous prime is 52685989. The next prime is 52686017. The reversal of 52686000 is 68625.

52686000 is a `hidden beast` number, since 52 + 6 + 8 + 600 + 0 = 666.

52686000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16537 + ... + 19463.

Almost surely, 2^52686000 is an apocalyptic number.

52686000 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 52686000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92038752).

52686000 is an abundant number, since it is smaller than the sum of its proper divisors (131391504).

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

52686000 is a wasteful number, since it uses less digits than its factorization.

52686000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2937 counting only the distinct ones).

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

The square root of 52686000 is about 7258.5122442550. The cubic root of 52686000 is about 374.8852982529.

The spelling of 52686000 in words is "fifty-two million, six hundred eighty-six thousand".