840116160 has 336 divisors, whose sum is σ = 3278489760. Its totient is φ = 195747840.

The previous prime is 840116107. The next prime is 840116201. The reversal of 840116160 is 61611048.

840116160 is a `hidden beast` number, since 8 + 40 + 1 + 1 + 616 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 710770 + ... + 711950.

It is an arithmetic number, because the mean of its divisors is an integer number (9757410).

Almost surely, 2^840116160 is an apocalyptic number.

840116160 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 840116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639244880).

840116160 is an abundant number, since it is smaller than the sum of its proper divisors (2438373600).

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

840116160 is a wasteful number, since it uses less digits than its factorization.

840116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 840116160 is about 28984.7573734886. The cubic root of 840116160 is about 943.5822867041.

The spelling of 840116160 in words is "eight hundred forty million, one hundred sixteen thousand, one hundred sixty".