90694656 has 132 divisors (see below), whose sum is σ = 282395932. Its totient is φ = 27869184.

The previous prime is 90694633. The next prime is 90694673. The reversal of 90694656 is 65649609.

It can be written as a sum of positive squares in 2 ways, for example, as 33177600 + 57517056 = 5760^2 + 7584^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 119430 + ... + 120186.

Almost surely, 2^90694656 is an apocalyptic number.

90694656 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 90694656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141197966).

90694656 is an abundant number, since it is smaller than the sum of its proper divisors (191701276).

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

90694656 is a wasteful number, since it uses less digits than its factorization.

90694656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 90694656 is about 9523.3741919553. The cubic root of 90694656 is about 449.2904967475.

The spelling of 90694656 in words is "ninety million, six hundred ninety-four thousand, six hundred fifty-six".