90935648 has 72 divisors (see below), whose sum is σ = 193152960. Its totient is φ = 42094080.

The previous prime is 90935639. The next prime is 90935659. The reversal of 90935648 is 84653909.

It is a junction number, because it is equal to n+sod(n) for n = 90935599 and 90935608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834218 + ... + 834326.

It is an arithmetic number, because the mean of its divisors is an integer number (2682680).

Almost surely, 2^90935648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90935648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96576480).

90935648 is an abundant number, since it is smaller than the sum of its proper divisors (102217312).

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

90935648 is a wasteful number, since it uses less digits than its factorization.

90935648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 90935648 is about 9536.0184563580. The cubic root of 90935648 is about 449.6880933244.

It can be divided in two parts, 9093 and 5648, that added together give a palindrome (14741).

The spelling of 90935648 in words is "ninety million, nine hundred thirty-five thousand, six hundred forty-eight".