861118272 has 252 divisors, whose sum is σ = 3000593440. Its totient is φ = 231247872.

The previous prime is 861118267. The next prime is 861118303. The reversal of 861118272 is 272811168.

861118272 is a `hidden beast` number, since 8 + 611 + 18 + 27 + 2 = 666.

861118272 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 (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10752) is a multiple of the sum of its prime divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1164879 + ... + 1165617.

Almost surely, 2^861118272 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 861118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500296720).

861118272 is an abundant number, since it is smaller than the sum of its proper divisors (2139475168).

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

861118272 is a wasteful number, since it uses less digits than its factorization.

861118272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 768 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 861118272 is about 29344.8167825257. The cubic root of 861118272 is about 951.3805494022.

The spelling of 861118272 in words is "eight hundred sixty-one million, one hundred eighteen thousand, two hundred seventy-two".