90808641 has 64 divisors (see below), whose sum is σ = 173260800. Its totient is φ = 45619200.

The previous prime is 90808631. The next prime is 90808649. The reversal of 90808641 is 14680809.

It is a happy number.

90808641 is a `hidden beast` number, since 9 + 0 + 8 + 0 + 8 + 641 = 666.

It is not a de Polignac number, because 90808641 - 2⁵ = 90808609 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 90808596 and 90808605.

It is not an unprimeable number, because it can be changed into a prime (90808649) 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 63 ways as a sum of consecutive naturals, for example, 63745 + ... + 65153.

It is an arithmetic number, because the mean of its divisors is an integer number (2707200).

Almost surely, 2^90808641 is an apocalyptic number.

It is an amenable number.

90808641 is a deficient number, since it is larger than the sum of its proper divisors (82452159).

90808641 is a wasteful number, since it uses less digits than its factorization.

90808641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 90808641 is about 9529.3567988611. The cubic root of 90808641 is about 449.4786406431.

The spelling of 90808641 in words is "ninety million, eight hundred eight thousand, six hundred forty-one".