840735 has 48 divisors (see below), whose sum is σ = 1774656. Its totient is φ = 359424.

The previous prime is 840733. The next prime is 840743. The reversal of 840735 is 537048.

It is not a de Polignac number, because 840735 - 2¹ = 840733 is a prime.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 840699 and 840708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5277 + ... + 5433.

It is an arithmetic number, because the mean of its divisors is an integer number (36972).

2⁸⁴⁰⁷³⁵ is an apocalyptic number.

840735 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

840735 is an abundant number, since it is smaller than the sum of its proper divisors (933921).

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

840735 is a wasteful number, since it uses less digits than its factorization.

840735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 840735 is about 916.9160266895. The cubic root of 840735 is about 94.3813914651.

The spelling of 840735 in words is "eight hundred forty thousand, seven hundred thirty-five".