52006680 has 192 divisors, whose sum is σ = 192741120. Its totient is φ = 12038400.

The previous prime is 52006663. The next prime is 52006697. The reversal of 52006680 is 8660025.

52006680 is a `hidden beast` number, since 520 + 0 + 66 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (52006663) and next prime (52006697).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90795 + ... + 91365.

It is an arithmetic number, because the mean of its divisors is an integer number (1003860).

Almost surely, 2^52006680 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 52006680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96370560).

52006680 is an abundant number, since it is smaller than the sum of its proper divisors (140734440).

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

52006680 is a wasteful number, since it uses less digits than its factorization.

52006680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 615 counting only the distinct ones).

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

The square root of 52006680 is about 7211.5657107177. The cubic root of 52006680 is about 373.2670978016.

The spelling of 52006680 in words is "fifty-two million, six thousand, six hundred eighty".