834956640 has 192 divisors, whose sum is σ = 3339947520. Its totient is φ = 190840320.

The previous prime is 834956627. The next prime is 834956669. The reversal of 834956640 is 46659438.

834956640 is a `hidden beast` number, since 8 + 3 + 49 + 566 + 40 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16435 + ... + 44045.

It is an arithmetic number, because the mean of its divisors is an integer number (17395560).

Almost surely, 2^834956640 is an apocalyptic number.

834956640 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 834956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669973760).

834956640 is an abundant number, since it is smaller than the sum of its proper divisors (2504990880).

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

834956640 is a wasteful number, since it uses less digits than its factorization.

834956640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27642 (or 27628 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 834956640 is about 28895.6162765219. The cubic root of 834956640 is about 941.6466685740.

The spelling of 834956640 in words is "eight hundred thirty-four million, nine hundred fifty-six thousand, six hundred forty".