90581008 has 60 divisors (see below), whose sum is σ = 210796032. Its totient is φ = 37558080.

The previous prime is 90581003. The next prime is 90581009. The reversal of 90581008 is 80018509.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (90581003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22441 + ... + 26167.

Almost surely, 2^90581008 is an apocalyptic number.

90581008 is a gapful number since it is divisible by the number (98) 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 90581008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105398016).

90581008 is an abundant number, since it is smaller than the sum of its proper divisors (120215024).

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

90581008 is a wasteful number, since it uses less digits than its factorization.

90581008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 90581008 is about 9517.4055288193. The cubic root of 90581008 is about 449.1027520983.

The spelling of 90581008 in words is "ninety million, five hundred eighty-one thousand, eight".