89966000 has 40 divisors (see below), whose sum is σ = 217542624. Its totient is φ = 35985600.

The previous prime is 89965987. The next prime is 89966011. The reversal of 89966000 is 66998.

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, 20492 + ... + 24491.

Almost surely, 2^89966000 is an apocalyptic number.

89966000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89966000 is an abundant number, since it is smaller than the sum of its proper divisors (127576624).

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

89966000 is a wasteful number, since it uses less digits than its factorization.

89966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45006 (or 44990 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 89966000 is about 9485.0408538920. The cubic root of 89966000 is about 448.0840350437.

The spelling of 89966000 in words is "eighty-nine million, nine hundred sixty-six thousand".