883680 has 96 divisors (see below), whose sum is σ = 3193344. Its totient is φ = 201216.

The previous prime is 883667. The next prime is 883691. The reversal of 883680 is 86388.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×883680³ = 2070171533316096000, which contains 333 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 883680.

It is an unprimeable number.

883680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3229 + ... + 3491.

It is an arithmetic number, because the mean of its divisors is an integer number (33264).

2⁸⁸³⁶⁸⁰ is an apocalyptic number.

883680 is a gapful number since it is divisible by the number (80) 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 883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596672).

883680 is an abundant number, since it is smaller than the sum of its proper divisors (2309664).

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

883680 is a wasteful number, since it uses less digits than its factorization.

883680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 883680 is about 940.0425522284. The cubic root of 883680 is about 95.9617903495.

The spelling of 883680 in words is "eight hundred eighty-three thousand, six hundred eighty".