905306880 has 144 divisors (see below), whose sum is σ = 2903330304. Its totient is φ = 240414720.

The previous prime is 905306873. The next prime is 905306893. The reversal of 905306880 is 88603509.

905306880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1654767 + ... + 1655313.

It is an arithmetic number, because the mean of its divisors is an integer number (20162016).

Almost surely, 2^905306880 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 905306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451665152).

905306880 is an abundant number, since it is smaller than the sum of its proper divisors (1998023424).

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

905306880 is a wasteful number, since it uses less digits than its factorization.

905306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 905306880 is about 30088.3179988513. The cubic root of 905306880 is about 967.3833469782.

The spelling of 905306880 in words is "nine hundred five million, three hundred six thousand, eight hundred eighty".