834567040 has 64 divisors (see below), whose sum is σ = 2015046720. Its totient is φ = 330496000.

The previous prime is 834567031. The next prime is 834567049. The reversal of 834567040 is 40765438.

It is an interprime number because it is at equal distance from previous prime (834567031) and next prime (834567049).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834567049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58185 + ... + 71095.

It is an arithmetic number, because the mean of its divisors is an integer number (31485105).

Almost surely, 2^834567040 is an apocalyptic number.

834567040 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 834567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007523360).

834567040 is an abundant number, since it is smaller than the sum of its proper divisors (1180479680).

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

834567040 is a wasteful number, since it uses less digits than its factorization.

834567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13031 (or 13019 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 834567040 is about 28888.8739829021. The cubic root of 834567040 is about 941.5001848724.

The spelling of 834567040 in words is "eight hundred thirty-four million, five hundred sixty-seven thousand, forty".