906847680 has 224 divisors, whose sum is σ = 3054242304. Its totient is φ = 227487744.

The previous prime is 906847679. The next prime is 906847693. The reversal of 906847680 is 86748609.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1479054 + ... + 1479666.

Almost surely, 2^906847680 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 906847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527121152).

906847680 is an abundant number, since it is smaller than the sum of its proper divisors (2147394624).

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

906847680 is a wasteful number, since it uses less digits than its factorization.

906847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 906847680 is about 30113.9117352761. The cubic root of 906847680 is about 967.9318532269.

The spelling of 906847680 in words is "nine hundred six million, eight hundred forty-seven thousand, six hundred eighty".