886397120 has 224 divisors, whose sum is σ = 2589580800. Its totient is φ = 282230784.

The previous prime is 886397087. The next prime is 886397129. The reversal of 886397120 is 21793688.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (886397129) 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 31 ways as a sum of consecutive naturals, for example, 2510864 + ... + 2511216.

Almost surely, 2^886397120 is an apocalyptic number.

886397120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 886397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294790400).

886397120 is an abundant number, since it is smaller than the sum of its proper divisors (1703183680).

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

886397120 is a wasteful number, since it uses less digits than its factorization.

886397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 886397120 is about 29772.4221386168. The cubic root of 886397120 is about 960.6004345635.

It can be divided in two parts, 88639 and 7120, that added together give a palindrome (95759).

The spelling of 886397120 in words is "eight hundred eighty-six million, three hundred ninety-seven thousand, one hundred twenty".