861196880 has 90 divisors (see below), whose sum is σ = 2138070186. Its totient is φ = 322535424.

The previous prime is 861196837. The next prime is 861196909. The reversal of 861196880 is 88691168.

861196880 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 9 ways, for example, as 155550784 + 705646096 = 12472^2 + 26564^2 .

It is a super-2 number, since 2×861196880² = 1483320132243468800, which contains 22 as substring.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 4462064 + ... + 4462256.

Almost surely, 2^861196880 is an apocalyptic number.

861196880 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 861196880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069035093).

861196880 is an abundant number, since it is smaller than the sum of its proper divisors (1276873306).

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

861196880 is a wasteful number, since it uses less digits than its factorization.

861196880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 47.

The square root of 861196880 is about 29346.1561367072. The cubic root of 861196880 is about 951.4094977472.

The spelling of 861196880 in words is "eight hundred sixty-one million, one hundred ninety-six thousand, eight hundred eighty".