861145344 has 216 divisors, whose sum is σ = 2618936320. Its totient is φ = 282175488.

The previous prime is 861145333. The next prime is 861145367. The reversal of 861145344 is 443541168.

861145344 is a `hidden beast` number, since 8 + 6 + 114 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a junction number, because it is equal to n+sod(n) for n = 861145299 and 861145308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6780609 + ... + 6780735.

Almost surely, 2^861145344 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 861145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309468160).

861145344 is an abundant number, since it is smaller than the sum of its proper divisors (1757790976).

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

861145344 is a wasteful number, since it uses less digits than its factorization.

861145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 241 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 861145344 is about 29345.2780528657. The cubic root of 861145344 is about 951.3905191919.

The spelling of 861145344 in words is "eight hundred sixty-one million, one hundred forty-five thousand, three hundred forty-four".