908328960 has 456 divisors, whose sum is σ = 3925861056. Its totient is φ = 188743680.

The previous prime is 908328931. The next prime is 908328961. The reversal of 908328960 is 69823809.

It is a super-2 number, since 2×908328960² = 1650122999149363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (908328961) 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, 82575355 + ... + 82575365.

Almost surely, 2^908328960 is an apocalyptic number.

908328960 is a gapful number since it is divisible by the number (90) 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 908328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962930528).

908328960 is an abundant number, since it is smaller than the sum of its proper divisors (3017532096).

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

908328960 is an equidigital number, since it uses as much as digits as its factorization.

908328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 908328960 is about 30138.4963128554. The cubic root of 908328960 is about 968.4585856179.

The spelling of 908328960 in words is "nine hundred eight million, three hundred twenty-eight thousand, nine hundred sixty".