872261120 has 160 divisors (see below), whose sum is σ = 2239142400. Its totient is φ = 324919296.

The previous prime is 872261119. The next prime is 872261123. The reversal of 872261120 is 21162278.

872261120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×872261120² = 1521678922927308800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872261123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3842447 + ... + 3842673.

It is an arithmetic number, because the mean of its divisors is an integer number (13994640).

Almost surely, 2^872261120 is an apocalyptic number.

872261120 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 872261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119571200).

872261120 is an abundant number, since it is smaller than the sum of its proper divisors (1366881280).

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

872261120 is a wasteful number, since it uses less digits than its factorization.

872261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 872261120 is about 29534.0671090184. The cubic root of 872261120 is about 955.4665885160.

The spelling of 872261120 in words is "eight hundred seventy-two million, two hundred sixty-one thousand, one hundred twenty".