90590976 has 216 divisors, whose sum is σ = 308022624. Its totient is φ = 25067520.

The previous prime is 90590971. The next prime is 90590989. The reversal of 90590976 is 67909509.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90590971) 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 23 ways as a sum of consecutive naturals, for example, 661180 + ... + 661316.

Almost surely, 2^90590976 is an apocalyptic number.

90590976 is a gapful number since it is divisible by the number (96) 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 90590976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154011312).

90590976 is an abundant number, since it is smaller than the sum of its proper divisors (217431648).

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

90590976 is a wasteful number, since it uses less digits than its factorization.

90590976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 90590976 is about 9517.9291865405. The cubic root of 90590976 is about 449.1192253529.

The spelling of 90590976 in words is "ninety million, five hundred ninety thousand, nine hundred seventy-six".