90685872 has 80 divisors (see below), whose sum is σ = 271649280. Its totient is φ = 28911168.

The previous prime is 90685867. The next prime is 90685873. The reversal of 90685872 is 27858609.

90685872 is a `hidden beast` number, since 9 + 0 + 68 + 587 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (90685873) by changing a digit.

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, 5373 + ... + 14499.

It is an arithmetic number, because the mean of its divisors is an integer number (3395616).

Almost surely, 2^90685872 is an apocalyptic number.

90685872 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90685872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135824640).

90685872 is an abundant number, since it is smaller than the sum of its proper divisors (180963408).

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

90685872 is a wasteful number, since it uses less digits than its factorization.

90685872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9167 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 90685872 is about 9522.9129997076. The cubic root of 90685872 is about 449.2759913168.

The spelling of 90685872 in words is "ninety million, six hundred eighty-five thousand, eight hundred seventy-two".