863610072 has 128 divisors (see below), whose sum is σ = 2445327360. Its totient is φ = 252172800.

The previous prime is 863610031. The next prime is 863610107. The reversal of 863610072 is 270016368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083178 + ... + 1083974.

It is an arithmetic number, because the mean of its divisors is an integer number (19104120).

Almost surely, 2^863610072 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 863610072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222663680).

863610072 is an abundant number, since it is smaller than the sum of its proper divisors (1581717288).

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

863610072 is a wasteful number, since it uses less digits than its factorization.

863610072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 863610072 is about 29387.2433548981. The cubic root of 863610072 is about 952.2973290383.

The spelling of 863610072 in words is "eight hundred sixty-three million, six hundred ten thousand, seventy-two".