87866000 has 40 divisors (see below), whose sum is σ = 212464824. Its totient is φ = 35145600.

The previous prime is 87865991. The next prime is 87866017. The reversal of 87866000 is 66878.

It can be written as a sum of positive squares in 4 ways, for example, as 20757136 + 67108864 = 4556^2 + 8192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 19967 + ... + 23966.

Almost surely, 2^87866000 is an apocalyptic number.

87866000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87866000 is an abundant number, since it is smaller than the sum of its proper divisors (124598824).

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

87866000 is a wasteful number, since it uses less digits than its factorization.

87866000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43956 (or 43940 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 87866000 is about 9373.6865746621. The cubic root of 87866000 is about 444.5701357468.

The spelling of 87866000 in words is "eighty-seven million, eight hundred sixty-six thousand".