687224160 has 288 divisors, whose sum is σ = 2717245440. Its totient is φ = 154911744.

The previous prime is 687224149. The next prime is 687224179. The reversal of 687224160 is 61422786.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 795889 + ... + 796751.

It is an arithmetic number, because the mean of its divisors is an integer number (9434880).

Almost surely, 2^687224160 is an apocalyptic number.

687224160 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 687224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358622720).

687224160 is an abundant number, since it is smaller than the sum of its proper divisors (2030021280).

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

687224160 is a wasteful number, since it uses less digits than its factorization.

687224160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 687224160 is about 26214.9606141226. The cubic root of 687224160 is about 882.4690303101.

The spelling of 687224160 in words is "six hundred eighty-seven million, two hundred twenty-four thousand, one hundred sixty".