834968160 has 432 divisors, whose sum is σ = 3194178624. Its totient is φ = 198402048.

The previous prime is 834968153. The next prime is 834968179. The reversal of 834968160 is 61869438.

834968160 is a `hidden beast` number, since 83 + 496 + 81 + 6 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 11437884 + ... + 11437956.

It is an arithmetic number, because the mean of its divisors is an integer number (7393932).

Almost surely, 2^834968160 is an apocalyptic number.

834968160 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 834968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597089312).

834968160 is an abundant number, since it is smaller than the sum of its proper divisors (2359210464).

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

834968160 is a wasteful number, since it uses less digits than its factorization.

834968160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 834968160 is about 28895.8156140297. The cubic root of 834968160 is about 941.6509992259.

It can be divided in two parts, 8349681 and 60, that added together give a triangular number (8349741 = T₄₀₈₆).

The spelling of 834968160 in words is "eight hundred thirty-four million, nine hundred sixty-eight thousand, one hundred sixty".