90194688 has 72 divisors (see below), whose sum is σ = 266742000. Its totient is φ = 30062592.

The previous prime is 90194659. The next prime is 90194701. The reversal of 90194688 is 88649109.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388 + ... + 13436.

It is an arithmetic number, because the mean of its divisors is an integer number (3704750).

Almost surely, 2^90194688 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 90194688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133371000).

90194688 is an abundant number, since it is smaller than the sum of its proper divisors (176547312).

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

90194688 is a wasteful number, since it uses less digits than its factorization.

90194688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13074 (or 13054 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 90194688 is about 9497.0883959243. The cubic root of 90194688 is about 448.4633810887.

The spelling of 90194688 in words is "ninety million, one hundred ninety-four thousand, six hundred eighty-eight".