109680 has 40 divisors (see below), whose sum is σ = 340752. Its totient is φ = 29184.

The previous prime is 109673. The next prime is 109717. The reversal of 109680 is 86901.

109680 = T₇ + T₈ + ... + T₈₆.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 109680.

It is a congruent number.

It is an unprimeable number.

109680 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 7 ways as a sum of consecutive naturals, for example, 12 + ... + 468.

2¹⁰⁹⁶⁸⁰ is an apocalyptic number.

109680 is a gapful number since it is divisible by the number (10) 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 109680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170376).

109680 is an abundant number, since it is smaller than the sum of its proper divisors (231072).

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

109680 is a wasteful number, since it uses less digits than its factorization.

109680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 109680 is about 331.1797095234. The cubic root of 109680 is about 47.8676911902.

It can be divided in two parts, 1096 and 80, that added together give a triangular number (1176 = T₄₈).

The spelling of 109680 in words is "one hundred nine thousand, six hundred eighty".