90668144 has 40 divisors (see below), whose sum is σ = 201237120. Its totient is φ = 38766528.

The previous prime is 90668129. The next prime is 90668153. The reversal of 90668144 is 44186609.

It is a junction number, because it is equal to n+sod(n) for n = 90668098 and 90668107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71387 + ... + 72645.

It is an arithmetic number, because the mean of its divisors is an integer number (5030928).

Almost surely, 2^90668144 is an apocalyptic number.

It is an amenable number.

90668144 is an abundant number, since it is smaller than the sum of its proper divisors (110568976).

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

90668144 is a wasteful number, since it uses less digits than its factorization.

90668144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 90668144 is about 9521.9821465911. The cubic root of 90668144 is about 449.2467133868.

The spelling of 90668144 in words is "ninety million, six hundred sixty-eight thousand, one hundred forty-four".