861120000 has 600 divisors, whose sum is σ = 3489870384. Its totient is φ = 202752000.

The previous prime is 861119999. The next prime is 861120019. The reversal of 861120000 is 21168.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37439989 + ... + 37440011.

Almost surely, 2^861120000 is an apocalyptic number.

861120000 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 861120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744935192).

861120000 is an abundant number, since it is smaller than the sum of its proper divisors (2628750384).

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

861120000 is a wasteful number, since it uses less digits than its factorization.

861120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 861120000 is about 29344.8462255300. The cubic root of 861120000 is about 951.3811857780.

Adding to 861120000 its reverse (21168), we get a palindrome (861141168).

The spelling of 861120000 in words is "eight hundred sixty-one million, one hundred twenty thousand".