687967580 has 96 divisors (see below), whose sum is σ = 1586995200. Its totient is φ = 249516288.

The previous prime is 687967571. The next prime is 687967583. The reversal of 687967580 is 85769786.

687967580 = 114² + 115² + ... + 1273².

It is a happy number.

It is a super-2 number, since 2×687967580² = 946598782262112800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687967583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1796069 + ... + 1796451.

It is an arithmetic number, because the mean of its divisors is an integer number (16531200).

Almost surely, 2^687967580 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 687967580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793497600).

687967580 is an abundant number, since it is smaller than the sum of its proper divisors (899027620).

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

687967580 is a wasteful number, since it uses less digits than its factorization.

687967580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 56.

The square root of 687967580 is about 26229.1360894712. The cubic root of 687967580 is about 882.7871257938.

The spelling of 687967580 in words is "six hundred eighty-seven million, nine hundred sixty-seven thousand, five hundred eighty".