90705576 has 64 divisors (see below), whose sum is σ = 249923520. Its totient is φ = 27256320.

The previous prime is 90705569. The next prime is 90705577. The reversal of 90705576 is 67550709.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (90705577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10036 + ... + 16796.

It is an arithmetic number, because the mean of its divisors is an integer number (3905055).

Almost surely, 2^90705576 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 90705576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124961760).

90705576 is an abundant number, since it is smaller than the sum of its proper divisors (159217944).

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

90705576 is a wasteful number, since it uses less digits than its factorization.

90705576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 90705576 is about 9523.9475009053. The cubic root of 90705576 is about 449.3085281492.

The spelling of 90705576 in words is "ninety million, seven hundred five thousand, five hundred seventy-six".