906857248 has 144 divisors (see below), whose sum is σ = 2171836800. Its totient is φ = 370472960.

The previous prime is 906857243. The next prime is 906857257. The reversal of 906857248 is 842758609.

It is not an unprimeable number, because it can be changed into a prime (906857243) 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, 1513653 + ... + 1514251.

It is an arithmetic number, because the mean of its divisors is an integer number (15082200).

Almost surely, 2^906857248 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 906857248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085918400).

906857248 is an abundant number, since it is smaller than the sum of its proper divisors (1264979552).

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

906857248 is a wasteful number, since it uses less digits than its factorization.

906857248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The square root of 906857248 is about 30114.0705983100. The cubic root of 906857248 is about 967.9352573779.

The spelling of 906857248 in words is "nine hundred six million, eight hundred fifty-seven thousand, two hundred forty-eight".