900682848 has 384 divisors, whose sum is σ = 3086294400. Its totient is φ = 253034496.

The previous prime is 900682843. The next prime is 900682889. The reversal of 900682848 is 848286009.

It is a happy number.

900682848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×900682848² = 1622459185362782208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900682843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10119988 + ... + 10120076.

It is an arithmetic number, because the mean of its divisors is an integer number (8037225).

Almost surely, 2^900682848 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 900682848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543147200).

900682848 is an abundant number, since it is smaller than the sum of its proper divisors (2185611552).

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

900682848 is a wasteful number, since it uses less digits than its factorization.

900682848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 900682848 is about 30011.3786421084. The cubic root of 900682848 is about 965.7335015792.

The spelling of 900682848 in words is "nine hundred million, six hundred eighty-two thousand, eight hundred forty-eight".