905997312 has 264 divisors, whose sum is σ = 2968510272. Its totient is φ = 273715200.

The previous prime is 905997293. The next prime is 905997319. The reversal of 905997312 is 213799509.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×905997312² = 1641662258702450688, which contains 22 as substring.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (905997319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2736987 + ... + 2737317.

Almost surely, 2^905997312 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 905997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484255136).

905997312 is an abundant number, since it is smaller than the sum of its proper divisors (2062512960).

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

905997312 is a wasteful number, since it uses less digits than its factorization.

905997312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 905997312 is about 30099.7892351425. The cubic root of 905997312 is about 967.6292093523.

The spelling of 905997312 in words is "nine hundred five million, nine hundred ninety-seven thousand, three hundred twelve".