687651360 has 384 divisors, whose sum is σ = 2570932224. Its totient is φ = 152616960.

The previous prime is 687651359. The next prime is 687651403. The reversal of 687651360 is 63156786.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4218639 + ... + 4218801.

It is an arithmetic number, because the mean of its divisors is an integer number (6695136).

Almost surely, 2^687651360 is an apocalyptic number.

687651360 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 687651360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285466112).

687651360 is an abundant number, since it is smaller than the sum of its proper divisors (1883280864).

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

687651360 is a wasteful number, since it uses less digits than its factorization.

687651360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 687651360 is about 26223.1073673583. The cubic root of 687651360 is about 882.6518492030.

It can be divided in two parts, 68765 and 1360, that added together give a triangular number (70125 = T₃₇₄).

The spelling of 687651360 in words is "six hundred eighty-seven million, six hundred fifty-one thousand, three hundred sixty".