906008625 has 64 divisors (see below), whose sum is σ = 1773757440. Its totient is φ = 454752000.

The previous prime is 906008599. The next prime is 906008627. The reversal of 906008625 is 526800609.

It is not a de Polignac number, because 906008625 - 2⁶ = 906008561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 906008625.

It is not an unprimeable number, because it can be changed into a prime (906008627) 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, 49480 + ... + 65270.

It is an arithmetic number, because the mean of its divisors is an integer number (27714960).

Almost surely, 2^906008625 is an apocalyptic number.

It is an amenable number.

906008625 is a deficient number, since it is larger than the sum of its proper divisors (867748815).

906008625 is a wasteful number, since it uses less digits than its factorization.

906008625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15832 (or 15816 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 906008625 is about 30099.9771594598. The cubic root of 906008625 is about 967.6332368638.

It can be divided in two parts, 90600 and 8625, that added together give a square (99225 = 315²).

The spelling of 906008625 in words is "nine hundred six million, eight thousand, six hundred twenty-five".