891010120 has 432 divisors, whose sum is σ = 2932482420. Its totient is φ = 241274880.

The previous prime is 891010039. The next prime is 891010121. The reversal of 891010120 is 21010198.

891010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 471497796 + 419512324 = 21714^2 + 20482^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 891010091 and 891010100.

It is not an unprimeable number, because it can be changed into a prime (891010121) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 52412352 + ... + 52412368.

Almost surely, 2^891010120 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 891010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466241210).

891010120 is an abundant number, since it is smaller than the sum of its proper divisors (2041472300).

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

891010120 is a wasteful number, since it uses less digits than its factorization.

891010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 891010120 is about 29849.7926290954. The cubic root of 891010120 is about 962.2639421104.

The spelling of 891010120 in words is "eight hundred ninety-one million, ten thousand, one hundred twenty".