906680544 has 192 divisors, whose sum is σ = 2988679680. Its totient is φ = 233809920.

The previous prime is 906680531. The next prime is 906680561. The reversal of 906680544 is 445086609.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 906680496 and 906680505.

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 31 ways as a sum of consecutive naturals, for example, 1278462 + ... + 1279170.

It is an arithmetic number, because the mean of its divisors is an integer number (15566040).

Almost surely, 2^906680544 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 906680544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494339840).

906680544 is an abundant number, since it is smaller than the sum of its proper divisors (2081999136).

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

906680544 is a wasteful number, since it uses less digits than its factorization.

906680544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 906680544 is about 30111.1365444747. The cubic root of 906680544 is about 967.8723848797.

The spelling of 906680544 in words is "nine hundred six million, six hundred eighty thousand, five hundred forty-four".