687960 has 192 divisors, whose sum is σ = 2872800. Its totient is φ = 145152.

The previous prime is 687949. The next prime is 687961. The reversal of 687960 is 69786.

687960 = 22³ + 23³ + ... + 41³.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687961) by changing a digit.

687960 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 47 ways as a sum of consecutive naturals, for example, 52914 + ... + 52926.

2⁶⁸⁷⁹⁶⁰ is an apocalyptic number.

687960 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 687960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436400).

687960 is an abundant number, since it is smaller than the sum of its proper divisors (2184840).

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

687960 is a wasteful number, since it uses less digits than its factorization.

687960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 687960 is about 829.4335416415. The cubic root of 687960 is about 88.2783883610.

687960 divided by its sum of digits (36) gives a triangular number (19110 = T₁₉₅).

The spelling of 687960 in words is "six hundred eighty-seven thousand, nine hundred sixty".