905964 has 24 divisors (see below), whose sum is σ = 2238768. Its totient is φ = 284160.

The previous prime is 905963. The next prime is 905999. The reversal of 905964 is 469509.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (905963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2017 + ... + 2424.

It is an arithmetic number, because the mean of its divisors is an integer number (93282).

2⁹⁰⁵⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

905964 is an abundant number, since it is smaller than the sum of its proper divisors (1332804).

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

905964 is a wasteful number, since it uses less digits than its factorization.

905964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4465 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 905964 is about 951.8214118205. The cubic root of 905964 is about 96.7617349840.

The spelling of 905964 in words is "nine hundred five thousand, nine hundred sixty-four".