845609625 has 192 divisors, whose sum is σ = 1869783552. Its totient is φ = 373248000.

The previous prime is 845609617. The next prime is 845609627. The reversal of 845609625 is 526906548.

845609625 is a `hidden beast` number, since 84 + 560 + 9 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 845609625 - 2³ = 845609617 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845609627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8717577 + ... + 8717673.

It is an arithmetic number, because the mean of its divisors is an integer number (9738456).

Almost surely, 2^845609625 is an apocalyptic number.

It is an amenable number.

845609625 is an abundant number, since it is smaller than the sum of its proper divisors (1024173927).

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

845609625 is an equidigital number, since it uses as much as digits as its factorization.

845609625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

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

The square root of 845609625 is about 29079.3676856977. The cubic root of 845609625 is about 945.6344945255.

The spelling of 845609625 in words is "eight hundred forty-five million, six hundred nine thousand, six hundred twenty-five".