687463200 has 270 divisors, whose sum is σ = 2531621169. Its totient is φ = 181543680.

The previous prime is 687463193. The next prime is 687463207. The reversal of 687463200 is 2364786.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

687463200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (687463193) and next prime (687463207).

It can be written as a sum of positive squares in 2 ways, for example, as 673713936 + 13749264 = 25956^2 + 3708^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=18540.

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

It is not an unprimeable number, because it can be changed into a prime (687463207) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6674349 + ... + 6674451.

Almost surely, 2^687463200 is an apocalyptic number.

687463200 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 687463200

687463200 is an abundant number, since it is smaller than the sum of its proper divisors (1844157969).

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

687463200 is a wasteful number, since it uses less digits than its factorization.

687463200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 113 counting only the distinct ones).

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

The square root of 687463200 is about 26219.5194463972. The cubic root of 687463200 is about 882.5713360574.

The spelling of 687463200 in words is "six hundred eighty-seven million, four hundred sixty-three thousand, two hundred".