861069312 has 224 divisors, whose sum is σ = 2713024800. Its totient is φ = 268959744.

The previous prime is 861069311. The next prime is 861069317. The reversal of 861069312 is 213960168.

861069312 is a `hidden beast` number, since 8 + 610 + 6 + 9 + 31 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861069311) 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, 3760014 + ... + 3760242.

Almost surely, 2^861069312 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 861069312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356512400).

861069312 is an abundant number, since it is smaller than the sum of its proper divisors (1851955488).

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

861069312 is a wasteful number, since it uses less digits than its factorization.

861069312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 861069312 is about 29343.9825517942. The cubic root of 861069312 is about 951.3625184007.

The spelling of 861069312 in words is "eight hundred sixty-one million, sixty-nine thousand, three hundred twelve".