906685890 has 128 divisors (see below), whose sum is σ = 2560481280. Its totient is φ = 203097600.

The previous prime is 906685889. The next prime is 906685891. The reversal of 906685890 is 98586609.

906685890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (906685889) and next prime (906685891).

It is not an unprimeable number, because it can be changed into a prime (906685891) 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, 255307 + ... + 258833.

It is an arithmetic number, because the mean of its divisors is an integer number (20003760).

Almost surely, 2^906685890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906685890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280240640).

906685890 is an abundant number, since it is smaller than the sum of its proper divisors (1653795390).

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

906685890 is a wasteful number, since it uses less digits than its factorization.

906685890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608.

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 906685890 is about 30111.2253154866. The cubic root of 906685890 is about 967.8742871431.

The spelling of 906685890 in words is "nine hundred six million, six hundred eighty-five thousand, eight hundred ninety".