866052000 has 480 divisors, whose sum is σ = 3481942464. Its totient is φ = 209952000.

The previous prime is 866051993. The next prime is 866052023. The reversal of 866052000 is 250668.

866052000 is a `hidden beast` number, since 86 + 60 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78731995 + ... + 78732005.

Almost surely, 2^866052000 is an apocalyptic number.

866052000 is a gapful number since it is divisible by the number (80) 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 866052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740971232).

866052000 is an abundant number, since it is smaller than the sum of its proper divisors (2615890464).

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

866052000 is an frugal number, since it uses more digits than its factorization.

866052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 21 counting only the distinct ones).

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

The square root of 866052000 is about 29428.7614418276. The cubic root of 866052000 is about 953.1940505380.

The spelling of 866052000 in words is "eight hundred sixty-six million, fifty-two thousand".