687120 has 80 divisors (see below), whose sum is σ = 2440320. Its totient is φ = 156672.

The previous prime is 687109. The next prime is 687121. The reversal of 687120 is 21786.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (687121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1476 + ... + 1884.

It is an arithmetic number, because the mean of its divisors is an integer number (30504).

2⁶⁸⁷¹²⁰ is an apocalyptic number.

687120 is a gapful number since it is divisible by the number (60) 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 687120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220160).

687120 is an abundant number, since it is smaller than the sum of its proper divisors (1753200).

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

687120 is a wasteful number, since it uses less digits than its factorization.

687120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 687120 is about 828.9270172940. The cubic root of 687120 is about 88.2424443879.

The spelling of 687120 in words is "six hundred eighty-seven thousand, one hundred twenty".