687160320 has 528 divisors, whose sum is σ = 2822698368. Its totient is φ = 141066240.

The previous prime is 687160219. The next prime is 687160321. The reversal of 687160320 is 23061786.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687160321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8278999 + ... + 8279081.

Almost surely, 2^687160320 is an apocalyptic number.

687160320 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 687160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411349184).

687160320 is an abundant number, since it is smaller than the sum of its proper divisors (2135538048).

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

687160320 is a wasteful number, since it uses less digits than its factorization.

687160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 687160320 is about 26213.7429605160. The cubic root of 687160320 is about 882.4417036770.

The spelling of 687160320 in words is "six hundred eighty-seven million, one hundred sixty thousand, three hundred twenty".