687287952 has 120 divisors (see below), whose sum is σ = 2100990528. Its totient is φ = 208454400.

The previous prime is 687287929. The next prime is 687287981. The reversal of 687287952 is 259782786.

It is a happy number.

687287952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130327 + ... + 135497.

Almost surely, 2^687287952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687287952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050495264).

687287952 is an abundant number, since it is smaller than the sum of its proper divisors (1413702576).

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

687287952 is a wasteful number, since it uses less digits than its factorization.

687287952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269 (or 5260 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 687287952 is about 26216.1772957081. The cubic root of 687287952 is about 882.4963347065.

The spelling of 687287952 in words is "six hundred eighty-seven million, two hundred eighty-seven thousand, nine hundred fifty-two".