906982272 has 160 divisors (see below), whose sum is σ = 3085006320. Its totient is φ = 259117056.

The previous prime is 906982211. The next prime is 906982277. The reversal of 906982272 is 272289609.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906982277) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66328 + ... + 78824.

Almost surely, 2^906982272 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 906982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542503160).

906982272 is an abundant number, since it is smaller than the sum of its proper divisors (2178024048).

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

906982272 is a wasteful number, since it uses less digits than its factorization.

906982272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12530 (or 12509 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 906982272 is about 30116.1463670238. The cubic root of 906982272 is about 967.9797368433.

The spelling of 906982272 in words is "nine hundred six million, nine hundred eighty-two thousand, two hundred seventy-two".