840906 has 48 divisors (see below), whose sum is σ = 2066688. Its totient is φ = 244800.

The previous prime is 840863. The next prime is 840907. The reversal of 840906 is 609048.

840906 = T₃₅ + T₃₆ + ... + T₁₇₁.

840906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 840906.

It is not an unprimeable number, because it can be changed into a prime (840907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6070 + ... + 6206.

It is an arithmetic number, because the mean of its divisors is an integer number (43056).

2⁸⁴⁰⁹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033344).

840906 is an abundant number, since it is smaller than the sum of its proper divisors (1225782).

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

840906 is a wasteful number, since it uses less digits than its factorization.

840906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 840906 is about 917.0092693097. The cubic root of 840906 is about 94.3877898839.

The spelling of 840906 in words is "eight hundred forty thousand, nine hundred six".