834965640 has 192 divisors, whose sum is σ = 2906280000. Its totient is φ = 207263232.

The previous prime is 834965623. The next prime is 834965713. The reversal of 834965640 is 46569438.

834965640 is a `hidden beast` number, since 83 + 4 + 9 + 6 + 564 + 0 = 666.

It is a super-3 number, since 3×834965640³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 402526 + ... + 404594.

It is an arithmetic number, because the mean of its divisors is an integer number (15136875).

Almost surely, 2^834965640 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 834965640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453140000).

834965640 is an abundant number, since it is smaller than the sum of its proper divisors (2071314360).

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

834965640 is a wasteful number, since it uses less digits than its factorization.

834965640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2157 counting only the distinct ones).

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

The square root of 834965640 is about 28895.7720090673. The cubic root of 834965640 is about 941.6500518992.

The spelling of 834965640 in words is "eight hundred thirty-four million, nine hundred sixty-five thousand, six hundred forty".