90686544 has 80 divisors (see below), whose sum is σ = 265608000. Its totient is φ = 26431488.

The previous prime is 90686543. The next prime is 90686569. The reversal of 90686544 is 44568609.

It is a junction number, because it is equal to n+sod(n) for n = 90686496 and 90686505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90686543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8032 + ... + 15680.

It is an arithmetic number, because the mean of its divisors is an integer number (3320100).

Almost surely, 2^90686544 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 90686544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132804000).

90686544 is an abundant number, since it is smaller than the sum of its proper divisors (174921456).

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

90686544 is a wasteful number, since it uses less digits than its factorization.

90686544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7692 (or 7686 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 90686544 is about 9522.9482829636. The cubic root of 90686544 is about 449.2771010549.

The spelling of 90686544 in words is "ninety million, six hundred eighty-six thousand, five hundred forty-four".