687321900 has 216 divisors, whose sum is σ = 2303290080. Its totient is φ = 170833920.

The previous prime is 687321889. The next prime is 687321911. The reversal of 687321900 is 9123786.

It is an interprime number because it is at equal distance from previous prime (687321889) and next prime (687321911).

It is a super-2 number, since 2×687321900² = 944822788439220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2554966 + ... + 2555234.

It is an arithmetic number, because the mean of its divisors is an integer number (10663380).

Almost surely, 2^687321900 is an apocalyptic number.

687321900 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 687321900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151645040).

687321900 is an abundant number, since it is smaller than the sum of its proper divisors (1615968180).

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

687321900 is a wasteful number, since it uses less digits than its factorization.

687321900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 687321900 is about 26216.8247505300. The cubic root of 687321900 is about 882.5108645175.

The spelling of 687321900 in words is "six hundred eighty-seven million, three hundred twenty-one thousand, nine hundred".