863606952 has 192 divisors, whose sum is σ = 2619751680. Its totient is φ = 255315456.

The previous prime is 863606941. The next prime is 863606957. The reversal of 863606952 is 259606368.

It is a happy number.

863606952 is a `hidden beast` number, since 8 + 636 + 0 + 6 + 9 + 5 + 2 = 666.

863606952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 863606898 and 863606907.

It is not an unprimeable number, because it can be changed into a prime (863606957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2947318 + ... + 2947610.

It is an arithmetic number, because the mean of its divisors is an integer number (13644540).

Almost surely, 2^863606952 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 863606952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309875840).

863606952 is an abundant number, since it is smaller than the sum of its proper divisors (1756144728).

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

863606952 is a wasteful number, since it uses less digits than its factorization.

863606952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 863606952 is about 29387.1902705924. The cubic root of 863606952 is about 952.2961822356.

The spelling of 863606952 in words is "eight hundred sixty-three million, six hundred six thousand, nine hundred fifty-two".