900686848 has 44 divisors (see below), whose sum is σ = 1825309900. Its totient is φ = 444137472.

The previous prime is 900686827. The next prime is 900686851. The reversal of 900686848 is 848686009.

It can be written as a sum of positive squares in 2 ways, for example, as 566820864 + 333865984 = 23808^2 + 18272^2 .

It is a super-2 number, since 2×900686848² = 1622473596320350208, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 68728 + ... + 80776.

Almost surely, 2^900686848 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 900686848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912654950).

900686848 is an abundant number, since it is smaller than the sum of its proper divisors (924623052).

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

900686848 is a wasteful number, since it uses less digits than its factorization.

900686848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12142 (or 12124 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The square root of 900686848 is about 30011.4452834248. The cubic root of 900686848 is about 965.7349312087.

The spelling of 900686848 in words is "nine hundred million, six hundred eighty-six thousand, eight hundred forty-eight".