861076944 has 240 divisors, whose sum is σ = 3095968512. Its totient is φ = 217147392.

The previous prime is 861076939. The next prime is 861076949. The reversal of 861076944 is 449670168.

It is an interprime number because it is at equal distance from previous prime (861076939) and next prime (861076949).

It is a self number, because there is not a number n which added to its sum of digits gives 861076944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861076949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299964 + ... + 302820.

Almost surely, 2^861076944 is an apocalyptic number.

861076944 is a gapful number since it is divisible by the number (84) 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 861076944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547984256).

861076944 is an abundant number, since it is smaller than the sum of its proper divisors (2234891568).

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

861076944 is a wasteful number, since it uses less digits than its factorization.

861076944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 861076944 is about 29344.1125952038. The cubic root of 861076944 is about 951.3653291606.

The spelling of 861076944 in words is "eight hundred sixty-one million, seventy-six thousand, nine hundred forty-four".