687669120 has 192 divisors, whose sum is σ = 2388709440. Its totient is φ = 182292480.

The previous prime is 687669089. The next prime is 687669139. The reversal of 687669120 is 21966786.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1595305 + ... + 1595735.

It is an arithmetic number, because the mean of its divisors is an integer number (12441195).

Almost surely, 2^687669120 is an apocalyptic number.

687669120 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 687669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194354720).

687669120 is an abundant number, since it is smaller than the sum of its proper divisors (1701040320).

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

687669120 is a wasteful number, since it uses less digits than its factorization.

687669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 687669120 is about 26223.4459978089. The cubic root of 687669120 is about 882.6594478994.

The spelling of 687669120 in words is "six hundred eighty-seven million, six hundred sixty-nine thousand, one hundred twenty".