90743688 has 216 divisors, whose sum is σ = 307107450. Its totient is φ = 24127488.

The previous prime is 90743669. The next prime is 90743713. The reversal of 90743688 is 88634709.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 84603204 + 6140484 = 9198^2 + 2478^2 .

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 1019548 + ... + 1019636.

Almost surely, 2^90743688 is an apocalyptic number.

90743688 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 90743688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153553725).

90743688 is an abundant number, since it is smaller than the sum of its proper divisors (216363762).

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

90743688 is a wasteful number, since it uses less digits than its factorization.

90743688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 90743688 is about 9525.9481417862. The cubic root of 90743688 is about 449.3714483855.

The spelling of 90743688 in words is "ninety million, seven hundred forty-three thousand, six hundred eighty-eight".