834452640 has 288 divisors, whose sum is σ = 3426433920. Its totient is φ = 180652032.

The previous prime is 834452629. The next prime is 834452669. The reversal of 834452640 is 46254438.

834452640 is a `hidden beast` number, since 8 + 3 + 4 + 4 + 5 + 2 + 640 = 666.

834452640 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 (288).

It is a super-5 number, since 5×834452640⁵ (a number of 46 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 834452595 and 834452604.

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, 189342 + ... + 193698.

It is an arithmetic number, because the mean of its divisors is an integer number (11897340).

Almost surely, 2^834452640 is an apocalyptic number.

834452640 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 834452640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713216960).

834452640 is an abundant number, since it is smaller than the sum of its proper divisors (2591981280).

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

834452640 is a wasteful number, since it uses less digits than its factorization.

834452640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 834452640 is about 28886.8939140227. The cubic root of 834452640 is about 941.4571635460.

The spelling of 834452640 in words is "eight hundred thirty-four million, four hundred fifty-two thousand, six hundred forty".