834980160 has 224 divisors, whose sum is σ = 3208446720. Its totient is φ = 179601408.

The previous prime is 834980119. The next prime is 834980189. The reversal of 834980160 is 61089438.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 110586 + ... + 117894.

Almost surely, 2^834980160 is an apocalyptic number.

834980160 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 834980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604223360).

834980160 is an abundant number, since it is smaller than the sum of its proper divisors (2373466560).

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

834980160 is a wasteful number, since it uses less digits than its factorization.

834980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7353 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 834980160 is about 28896.0232558046. The cubic root of 834980160 is about 941.6555102793.

The spelling of 834980160 in words is "eight hundred thirty-four million, nine hundred eighty thousand, one hundred sixty".