687599220 has 192 divisors, whose sum is σ = 2478292992. Its totient is φ = 138240000.

The previous prime is 687599207. The next prime is 687599249. The reversal of 687599220 is 22995786.

It is a self number, because there is not a number n which added to its sum of digits gives 687599220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140820 + ... + 145620.

It is an arithmetic number, because the mean of its divisors is an integer number (12907776).

Almost surely, 2^687599220 is an apocalyptic number.

687599220 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 687599220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239146496).

687599220 is an abundant number, since it is smaller than the sum of its proper divisors (1790693772).

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

687599220 is a wasteful number, since it uses less digits than its factorization.

687599220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 687599220 is about 26222.1131871556. The cubic root of 687599220 is about 882.6295401118.

The spelling of 687599220 in words is "six hundred eighty-seven million, five hundred ninety-nine thousand, two hundred twenty".