866676000 has 96 divisors (see below), whose sum is σ = 2839269888. Its totient is φ = 231110400.

The previous prime is 866675993. The next prime is 866676017. The reversal of 866676000 is 676668.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×866676000² = 1502254577952000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 866676000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 24112 + ... + 48111.

It is an arithmetic number, because the mean of its divisors is an integer number (29575728).

Almost surely, 2^866676000 is an apocalyptic number.

866676000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

866676000 is an abundant number, since it is smaller than the sum of its proper divisors (1972593888).

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

866676000 is a wasteful number, since it uses less digits than its factorization.

866676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72251 (or 72233 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 866676000 is about 29439.3614061175. The cubic root of 866676000 is about 953.4229245137.

It can be divided in two parts, 8666 and 76000, that added together give a triangular number (84666 = T₄₁₁).

The spelling of 866676000 in words is "eight hundred sixty-six million, six hundred seventy-six thousand".