868916160 has 280 divisors, whose sum is σ = 3533180640. Its totient is φ = 198567936.

The previous prime is 868916141. The next prime is 868916171. The reversal of 868916160 is 61619868.

It is a happy number.

868916160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179046 + ... + 183834.

Almost surely, 2^868916160 is an apocalyptic number.

868916160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766590320).

868916160 is an abundant number, since it is smaller than the sum of its proper divisors (2664264480).

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

868916160 is a wasteful number, since it uses less digits than its factorization.

868916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 868916160 is about 29477.3838730644. The cubic root of 868916160 is about 954.2436781109.

The spelling of 868916160 in words is "eight hundred sixty-eight million, nine hundred sixteen thousand, one hundred sixty".