90085952 has 42 divisors (see below), whose sum is σ = 196509894. Its totient is φ = 40944640.

The previous prime is 90085943. The next prime is 90085997. The reversal of 90085952 is 25958009.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 82156096 + 7929856 = 9064^2 + 2816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1928 + ... + 13560.

It is an arithmetic number, because the mean of its divisors is an integer number (4678807).

Almost surely, 2^90085952 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 90085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98254947).

90085952 is an abundant number, since it is smaller than the sum of its proper divisors (106423942).

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

90085952 is a wasteful number, since it uses less digits than its factorization.

90085952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11667 (or 11646 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 90085952 is about 9491.3619675998. The cubic root of 90085952 is about 448.2830906355.

The spelling of 90085952 in words is "ninety million, eighty-five thousand, nine hundred fifty-two".