834090240 has 144 divisors (see below), whose sum is σ = 2697000768. Its totient is φ = 219660288.

The previous prime is 834090217. The next prime is 834090241. The reversal of 834090240 is 42090438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 834090198 and 834090207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834090241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 317412 + ... + 320028.

It is an arithmetic number, because the mean of its divisors is an integer number (18729172).

Almost surely, 2^834090240 is an apocalyptic number.

834090240 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 834090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348500384).

834090240 is an abundant number, since it is smaller than the sum of its proper divisors (1862910528).

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

834090240 is a wasteful number, since it uses less digits than its factorization.

834090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 834090240 is about 28880.6204919493. The cubic root of 834090240 is about 941.3208532418.

The spelling of 834090240 in words is "eight hundred thirty-four million, ninety thousand, two hundred forty".