90829904 has 40 divisors (see below), whose sum is σ = 193434048. Its totient is φ = 40974080.

The previous prime is 90829891. The next prime is 90829909. The reversal of 90829904 is 40992809.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90829909) 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 7 ways as a sum of consecutive naturals, for example, 22229 + ... + 25995.

Almost surely, 2^90829904 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 90829904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96717024).

90829904 is an abundant number, since it is smaller than the sum of its proper divisors (102604144).

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

90829904 is a wasteful number, since it uses less digits than its factorization.

90829904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 90829904 is about 9530.4723912301. The cubic root of 90829904 is about 449.5137199717.

The spelling of 90829904 in words is "ninety million, eight hundred twenty-nine thousand, nine hundred four".