687870144 has 280 divisors, whose sum is σ = 2246040720. Its totient is φ = 206862336.

The previous prime is 687870121. The next prime is 687870181. The reversal of 687870144 is 441078786.

It is a self number, because there is not a number n which added to its sum of digits gives 687870144.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3976042 + ... + 3976214.

It is an arithmetic number, because the mean of its divisors is an integer number (8021574).

Almost surely, 2^687870144 is an apocalyptic number.

687870144 is a gapful number since it is divisible by the number (64) 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 687870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123020360).

687870144 is an abundant number, since it is smaller than the sum of its proper divisors (1558170576).

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

687870144 is a wasteful number, since it uses less digits than its factorization.

687870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 687870144 is about 26227.2786236010. The cubic root of 687870144 is about 882.7454478088.

The spelling of 687870144 in words is "six hundred eighty-seven million, eight hundred seventy thousand, one hundred forty-four".