905648625 has 96 divisors (see below), whose sum is σ = 1904697600. Its totient is φ = 413834400.

The previous prime is 905648609. The next prime is 905648641. The reversal of 905648625 is 526846509.

905648625 is a `hidden beast` number, since 9 + 0 + 564 + 86 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (905648609) and next prime (905648641).

It is not a de Polignac number, because 905648625 - 2⁴ = 905648609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384702 + ... + 387048.

It is an arithmetic number, because the mean of its divisors is an integer number (19840600).

Almost surely, 2^905648625 is an apocalyptic number.

It is an amenable number.

905648625 is an abundant number, since it is smaller than the sum of its proper divisors (999048975).

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

905648625 is a wasteful number, since it uses less digits than its factorization.

905648625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 905648625 is about 30093.9964943176. The cubic root of 905648625 is about 967.5050577626.

The spelling of 905648625 in words is "nine hundred five million, six hundred forty-eight thousand, six hundred twenty-five".