927680 has 56 divisors (see below), whose sum is σ = 2389632. Its totient is φ = 340992.

The previous prime is 927677. The next prime is 927683. The reversal of 927680 is 86729.

It is an interprime number because it is at equal distance from previous prime (927677) and next prime (927683).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (927683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4049 + ... + 4271.

It is an arithmetic number, because the mean of its divisors is an integer number (42672).

2⁹²⁷⁶⁸⁰ 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 927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194816).

927680 is an abundant number, since it is smaller than the sum of its proper divisors (1461952).

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

927680 is a wasteful number, since it uses less digits than its factorization.

927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 927680 is about 963.1614610230. The cubic root of 927680 is about 97.5287664407.

The spelling of 927680 in words is "nine hundred twenty-seven thousand, six hundred eighty".