90966000 has 80 divisors (see below), whose sum is σ = 293293728. Its totient is φ = 24256000.

The previous prime is 90965993. The next prime is 90966013. The reversal of 90966000 is 66909.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1581 + ... + 13580.

Almost surely, 2^90966000 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 90966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146646864).

90966000 is an abundant number, since it is smaller than the sum of its proper divisors (202327728).

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

90966000 is a wasteful number, since it uses less digits than its factorization.

90966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15187 (or 15171 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 90966000 is about 9537.6097634575. The cubic root of 90966000 is about 449.7381192311.

The spelling of 90966000 in words is "ninety million, nine hundred sixty-six thousand".