914880 has 56 divisors (see below), whose sum is σ = 2907792. Its totient is φ = 243712.

The previous prime is 914873. The next prime is 914887. The reversal of 914880 is 88419.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (914873) and next prime (914887).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (914887) by changing a digit.

914880 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 484 + ... + 1436.

2⁹¹⁴⁸⁸⁰ 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 914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453896).

914880 is an abundant number, since it is smaller than the sum of its proper divisors (1992912).

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

914880 is a wasteful number, since it uses less digits than its factorization.

914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 914880 is about 956.4935964239. The cubic root of 914880 is about 97.0781246118.

The spelling of 914880 in words is "nine hundred fourteen thousand, eight hundred eighty".