687234240 has 448 divisors, whose sum is σ = 3025566720. Its totient is φ = 142663680.

The previous prime is 687234239. The next prime is 687234269. The reversal of 687234240 is 42432786.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 687234195 and 687234204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664764 + ... + 665796.

Almost surely, 2^687234240 is an apocalyptic number.

687234240 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 687234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512783360).

687234240 is an abundant number, since it is smaller than the sum of its proper divisors (2338332480).

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

687234240 is a wasteful number, since it uses less digits than its factorization.

687234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 687234240 is about 26215.1528700483. The cubic root of 687234240 is about 882.4733448869.

The spelling of 687234240 in words is "six hundred eighty-seven million, two hundred thirty-four thousand, two hundred forty".