90681696 has 144 divisors (see below), whose sum is σ = 304432128. Its totient is φ = 25056000.

The previous prime is 90681677. The next prime is 90681719. The reversal of 90681696 is 69618609.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 61771 + ... + 63221.

It is an arithmetic number, because the mean of its divisors is an integer number (2114112).

Almost surely, 2^90681696 is an apocalyptic number.

90681696 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 90681696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152216064).

90681696 is an abundant number, since it is smaller than the sum of its proper divisors (213750432).

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

90681696 is a wasteful number, since it uses less digits than its factorization.

90681696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 90681696 is about 9522.6937365432. The cubic root of 90681696 is about 449.2690949638.

The spelling of 90681696 in words is "ninety million, six hundred eighty-one thousand, six hundred ninety-six".