906813648 has 120 divisors (see below), whose sum is σ = 2760156672. Its totient is φ = 276251904.

The previous prime is 906813641. The next prime is 906813659. The reversal of 906813648 is 846318609.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906813641) 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, 190465 + ... + 195167.

Almost surely, 2^906813648 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 906813648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380078336).

906813648 is an abundant number, since it is smaller than the sum of its proper divisors (1853343024).

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

906813648 is a wasteful number, since it uses less digits than its factorization.

906813648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 906813648 is about 30113.3466755191. The cubic root of 906813648 is about 967.9197449572.

The spelling of 906813648 in words is "nine hundred six million, eight hundred thirteen thousand, six hundred forty-eight".