906825088 has 64 divisors (see below), whose sum is σ = 1950933600. Its totient is φ = 417374208.

The previous prime is 906825083. The next prime is 906825091. The reversal of 906825088 is 880528609.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906825083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 986293 + ... + 987211.

Almost surely, 2^906825088 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 906825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975466800).

906825088 is an abundant number, since it is smaller than the sum of its proper divisors (1044108512).

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

906825088 is a wasteful number, since it uses less digits than its factorization.

906825088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The square root of 906825088 is about 30113.5366239172. The cubic root of 906825088 is about 967.9238152368.

The spelling of 906825088 in words is "nine hundred six million, eight hundred twenty-five thousand, eighty-eight".