906799104 has 288 divisors, whose sum is σ = 2898604800. Its totient is φ = 279797760.

The previous prime is 906799079. The next prime is 906799147. The reversal of 906799104 is 401997609.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 906799104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29251569 + ... + 29251599.

It is an arithmetic number, because the mean of its divisors is an integer number (10064600).

Almost surely, 2^906799104 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 906799104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449302400).

906799104 is an abundant number, since it is smaller than the sum of its proper divisors (1991805696).

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

906799104 is a wasteful number, since it uses less digits than its factorization.

906799104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 906799104 is about 30113.1051869448. The cubic root of 906799104 is about 967.9145702446.

The spelling of 906799104 in words is "nine hundred six million, seven hundred ninety-nine thousand, one hundred four".