908640 has 72 divisors (see below), whose sum is σ = 3105648. Its totient is φ = 241920.

The previous prime is 908627. The next prime is 908653. The reversal of 908640 is 46809.

It is an interprime number because it is at equal distance from previous prime (908627) and next prime (908653).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1125 + ... + 1755.

It is an arithmetic number, because the mean of its divisors is an integer number (43134).

2⁹⁰⁸⁶⁴⁰ is an apocalyptic number.

908640 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 908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552824).

908640 is an abundant number, since it is smaller than the sum of its proper divisors (2197008).

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

908640 is a wasteful number, since it uses less digits than its factorization.

908640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 908640 is about 953.2261011953. The cubic root of 908640 is about 96.8569116419.

The spelling of 908640 in words is "nine hundred eight thousand, six hundred forty".