90166640 has 80 divisors (see below), whose sum is σ = 223860672. Its totient is φ = 33656832.

The previous prime is 90166627. The next prime is 90166673. The reversal of 90166640 is 4666109.

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

It is a junction number, because it is equal to n+sod(n) for n = 90166597 and 90166606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226922 + ... + 227318.

Almost surely, 2^90166640 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 90166640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111930336).

90166640 is an abundant number, since it is smaller than the sum of its proper divisors (133694032).

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

90166640 is a wasteful number, since it uses less digits than its factorization.

90166640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 90166640 is about 9495.6116180054. The cubic root of 90166640 is about 448.4168897884.

The spelling of 90166640 in words is "ninety million, one hundred sixty-six thousand, six hundred forty".