687420360 has 288 divisors, whose sum is σ = 2519637120. Its totient is φ = 162328320.

The previous prime is 687420353. The next prime is 687420431. The reversal of 687420360 is 63024786.

687420360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1872897 + ... + 1873263.

It is an arithmetic number, because the mean of its divisors is an integer number (8748740).

Almost surely, 2^687420360 is an apocalyptic number.

687420360 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 687420360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259818560).

687420360 is an abundant number, since it is smaller than the sum of its proper divisors (1832216760).

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

687420360 is a wasteful number, since it uses less digits than its factorization.

687420360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 687420360 is about 26218.7024850583. The cubic root of 687420360 is about 882.5530028862.

The spelling of 687420360 in words is "six hundred eighty-seven million, four hundred twenty thousand, three hundred sixty".