906772992 has 80 divisors (see below), whose sum is σ = 2472059040. Its totient is φ = 295206912.

The previous prime is 906772939. The next prime is 906773053. The reversal of 906772992 is 299277609.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59184 + ... + 72912.

It is an arithmetic number, because the mean of its divisors is an integer number (30900738).

Almost surely, 2^906772992 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 906772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236029520).

906772992 is an abundant number, since it is smaller than the sum of its proper divisors (1565286048).

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

906772992 is a wasteful number, since it uses less digits than its factorization.

906772992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13793 (or 13777 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The square root of 906772992 is about 30112.6716184400. The cubic root of 906772992 is about 967.9052795326.

The spelling of 906772992 in words is "nine hundred six million, seven hundred seventy-two thousand, nine hundred ninety-two".