906840 has 96 divisors (see below), whose sum is σ = 3229200. Its totient is φ = 218880.

The previous prime is 906839. The next prime is 906847. The reversal of 906840 is 48609.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906847) 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 23 ways as a sum of consecutive naturals, for example, 3846 + ... + 4074.

2⁹⁰⁶⁸⁴⁰ is an apocalyptic number.

906840 is a gapful number since it is divisible by the number (90) 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 906840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614600).

906840 is an abundant number, since it is smaller than the sum of its proper divisors (2322360).

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

906840 is a wasteful number, since it uses less digits than its factorization.

906840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 250 counting only the distinct ones).

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

The square root of 906840 is about 952.2814709948. The cubic root of 906840 is about 96.7929120781.

The spelling of 906840 in words is "nine hundred six thousand, eight hundred forty".