905616 has 60 divisors (see below), whose sum is σ = 2675920. Its totient is φ = 285120.

The previous prime is 905599. The next prime is 905617. The reversal of 905616 is 616509.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 905616.

It is not an unprimeable number, because it can be changed into a prime (905617) by changing a digit.

905616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2571 + ... + 2901.

2⁹⁰⁵⁶¹⁶ 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 905616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337960).

905616 is an abundant number, since it is smaller than the sum of its proper divisors (1770304).

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

905616 is a wasteful number, since it uses less digits than its factorization.

905616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 905616 is about 951.6385868595. The cubic root of 905616 is about 96.7493439853.

It can be divided in two parts, 905 and 616, that added together give a square (1521 = 39²).

The spelling of 905616 in words is "nine hundred five thousand, six hundred sixteen".