906540 has 48 divisors (see below), whose sum is σ = 2630880. Its totient is φ = 232960.

The previous prime is 906539. The next prime is 906541. The reversal of 906540 is 45609.

It is an interprime number because it is at equal distance from previous prime (906539) and next prime (906541).

It is a self number, because there is not a number n which added to its sum of digits gives 906540.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 906540.

It is not an unprimeable number, because it can be changed into a prime (906541) 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 15 ways as a sum of consecutive naturals, for example, 1480 + ... + 2000.

It is an arithmetic number, because the mean of its divisors is an integer number (54810).

2⁹⁰⁶⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315440).

906540 is an abundant number, since it is smaller than the sum of its proper divisors (1724340).

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

906540 is a wasteful number, since it uses less digits than its factorization.

906540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 906540 is about 952.1239415118. The cubic root of 906540 is about 96.7822372525.

The spelling of 906540 in words is "nine hundred six thousand, five hundred forty".