868165632 has 288 divisors, whose sum is σ = 2751184800. Its totient is φ = 262766592.

The previous prime is 868165631. The next prime is 868165643. The reversal of 868165632 is 236561868.

868165632 is a `hidden beast` number, since 8 + 6 + 8 + 1 + 6 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (414720) is a multiple of the sum of its prime divisors (128).

It is not an unprimeable number, because it can be changed into a prime (868165631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12957663 + ... + 12957729.

It is an arithmetic number, because the mean of its divisors is an integer number (9552725).

Almost surely, 2^868165632 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 868165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375592400).

868165632 is an abundant number, since it is smaller than the sum of its proper divisors (1883019168).

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

868165632 is a wasteful number, since it uses less digits than its factorization.

868165632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 128 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 868165632 is about 29464.6505494296. The cubic root of 868165632 is about 953.9688557004.

The spelling of 868165632 in words is "eight hundred sixty-eight million, one hundred sixty-five thousand, six hundred thirty-two".