905612960 has 96 divisors (see below), whose sum is σ = 2573907840. Its totient is φ = 294147072.

The previous prime is 905612959. The next prime is 905612963. The reversal of 905612960 is 69216509.

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

It is not an unprimeable number, because it can be changed into a prime (905612963) 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, 2 + ... + 42558.

It is an arithmetic number, because the mean of its divisors is an integer number (26811540).

Almost surely, 2^905612960 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 905612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286953920).

905612960 is an abundant number, since it is smaller than the sum of its proper divisors (1668294880).

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

905612960 is a wasteful number, since it uses less digits than its factorization.

905612960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42598 (or 42590 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 905612960 is about 30093.4039284359. The cubic root of 905612960 is about 967.4923572810.

The spelling of 905612960 in words is "nine hundred five million, six hundred twelve thousand, nine hundred sixty".