861433344 has 120 divisors (see below), whose sum is σ = 2522128752. Its totient is φ = 282992640.

The previous prime is 861433303. The next prime is 861433357. The reversal of 861433344 is 443334168.

It is a happy number.

861433344 is a `hidden beast` number, since 8 + 614 + 3 + 3 + 34 + 4 = 666.

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.

It is a junction number, because it is equal to n+sod(n) for n = 861433299 and 861433308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325852 + ... + 328484.

Almost surely, 2^861433344 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 861433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261064376).

861433344 is an abundant number, since it is smaller than the sum of its proper divisors (1660695408).

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

861433344 is a wasteful number, since it uses less digits than its factorization.

861433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2709 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 861433344 is about 29350.1847353641. The cubic root of 861433344 is about 951.4965678520.

The spelling of 861433344 in words is "eight hundred sixty-one million, four hundred thirty-three thousand, three hundred forty-four".