906857136 has 120 divisors (see below), whose sum is σ = 2669936256. Its totient is φ = 286940160.

The previous prime is 906857131. The next prime is 906857141. The reversal of 906857136 is 631758609.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (906857131) and next prime (906857141).

It is a super-2 number, since 2×906857136² = 1644779730228244992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 906857091 and 906857100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906857131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234676 + ... + 238508.

Almost surely, 2^906857136 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 906857136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334968128).

906857136 is an abundant number, since it is smaller than the sum of its proper divisors (1763079120).

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

906857136 is a wasteful number, since it uses less digits than its factorization.

906857136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 906857136 is about 30114.0687387141. The cubic root of 906857136 is about 967.9352175301.

The spelling of 906857136 in words is "nine hundred six million, eight hundred fifty-seven thousand, one hundred thirty-six".