886072096 has 144 divisors (see below), whose sum is σ = 2314816056. Its totient is φ = 329785344.

The previous prime is 886072093. The next prime is 886072123. The reversal of 886072096 is 690270688.

It can be written as a sum of positive squares in 4 ways, for example, as 700131600 + 185940496 = 26460^2 + 13636^2 .

It is a super-3 number, since 3×886072096³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (886072093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345250 + ... + 347806.

Almost surely, 2^886072096 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 886072096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157408028).

886072096 is an abundant number, since it is smaller than the sum of its proper divisors (1428743960).

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

886072096 is a wasteful number, since it uses less digits than its factorization.

886072096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 886072096 is about 29766.9631638835. The cubic root of 886072096 is about 960.4830092554.

The spelling of 886072096 in words is "eight hundred eighty-six million, seventy-two thousand, ninety-six".