861663072 has 96 divisors (see below), whose sum is σ = 2388597120. Its totient is φ = 271226880.

The previous prime is 861663043. The next prime is 861663097. The reversal of 861663072 is 270366168.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 861663072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789247 + ... + 790337.

It is an arithmetic number, because the mean of its divisors is an integer number (24881220).

Almost surely, 2^861663072 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 861663072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194298560).

861663072 is an abundant number, since it is smaller than the sum of its proper divisors (1526934048).

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

861663072 is a wasteful number, since it uses less digits than its factorization.

861663072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 861663072 is about 29354.0980443958. The cubic root of 861663072 is about 951.5811423878.

The spelling of 861663072 in words is "eight hundred sixty-one million, six hundred sixty-three thousand, seventy-two".