687225600 has 432 divisors, whose sum is σ = 2608062240. Its totient is φ = 176947200.

The previous prime is 687225593. The next prime is 687225631. The reversal of 687225600 is 6522786.

It is a tau number, because it is divible by the number of its divisors (432).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7084752 + ... + 7084848.

Almost surely, 2^687225600 is an apocalyptic number.

687225600 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 687225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304031120).

687225600 is an abundant number, since it is smaller than the sum of its proper divisors (1920836640).

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

687225600 is a wasteful number, since it uses less digits than its factorization.

687225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 687225600 is about 26214.9880793412. The cubic root of 687225600 is about 882.4696466808.

The spelling of 687225600 in words is "six hundred eighty-seven million, two hundred twenty-five thousand, six hundred".