868493952 has 96 divisors (see below), whose sum is σ = 2630784000. Its totient is φ = 274254336.

The previous prime is 868493947. The next prime is 868493953. The reversal of 868493952 is 259394868.

868493952 is a `hidden beast` number, since 8 + 68 + 493 + 95 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (868493953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2049 + ... + 41727.

It is an arithmetic number, because the mean of its divisors is an integer number (27404000).

Almost surely, 2^868493952 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 868493952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315392000).

868493952 is an abundant number, since it is smaller than the sum of its proper divisors (1762290048).

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

868493952 is a wasteful number, since it uses less digits than its factorization.

868493952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39718 (or 39703 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 868493952 is about 29470.2214447058. The cubic root of 868493952 is about 954.0890968038.

The spelling of 868493952 in words is "eight hundred sixty-eight million, four hundred ninety-three thousand, nine hundred fifty-two".