908880 has 80 divisors (see below), whose sum is σ = 3225984. Its totient is φ = 207360.

The previous prime is 908879. The next prime is 908881. The reversal of 908880 is 88809.

It is an interprime number because it is at equal distance from previous prime (908879) and next prime (908881).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (908881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410 + ... + 1950.

2⁹⁰⁸⁸⁸⁰ 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 908880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612992).

908880 is an abundant number, since it is smaller than the sum of its proper divisors (2317104).

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

908880 is a wasteful number, since it uses less digits than its factorization.

908880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 908880 is about 953.3519811696. The cubic root of 908880 is about 96.8654385291.

The spelling of 908880 in words is "nine hundred eight thousand, eight hundred eighty".