908829216 has 72 divisors (see below), whose sum is σ = 2590149744. Its totient is φ = 302279040.

The previous prime is 908829151. The next prime is 908829227. The reversal of 908829216 is 612928809.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138195 + ... + 144621.

It is an arithmetic number, because the mean of its divisors is an integer number (35974302).

Almost surely, 2^908829216 is an apocalyptic number.

908829216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 908829216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295074872).

908829216 is an abundant number, since it is smaller than the sum of its proper divisors (1681320528).

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

908829216 is a wasteful number, since it uses less digits than its factorization.

908829216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6934 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 908829216 is about 30146.7944564592. The cubic root of 908829216 is about 968.6363436498.

The spelling of 908829216 in words is "nine hundred eight million, eight hundred twenty-nine thousand, two hundred sixteen".