905996 has 48 divisors (see below), whose sum is σ = 2069760. Its totient is φ = 336960.

The previous prime is 905963. The next prime is 905999. The reversal of 905996 is 699509.

905996 = 133² + 134² + ... + 171².

905996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6851 + ... + 6981.

It is an arithmetic number, because the mean of its divisors is an integer number (43120).

2⁹⁰⁵⁹⁹⁶ 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 905996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034880).

905996 is an abundant number, since it is smaller than the sum of its proper divisors (1163764).

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

905996 is a wasteful number, since it uses less digits than its factorization.

905996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 38.

The square root of 905996 is about 951.8382215482. The cubic root of 905996 is about 96.7628742268.

The spelling of 905996 in words is "nine hundred five thousand, nine hundred ninety-six".