834528096 has 288 divisors, whose sum is σ = 2674788480. Its totient is φ = 254969856.

The previous prime is 834528073. The next prime is 834528103. The reversal of 834528096 is 690825438.

834528096 is a `hidden beast` number, since 8 + 34 + 528 + 0 + 96 = 666.

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

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, 7799275 + ... + 7799381.

It is an arithmetic number, because the mean of its divisors is an integer number (9287460).

Almost surely, 2^834528096 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 834528096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337394240).

834528096 is an abundant number, since it is smaller than the sum of its proper divisors (1840260384).

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

834528096 is a wasteful number, since it uses less digits than its factorization.

834528096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

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

The square root of 834528096 is about 28888.1999439217. The cubic root of 834528096 is about 941.4855400119.

The spelling of 834528096 in words is "eight hundred thirty-four million, five hundred twenty-eight thousand, ninety-six".