687126240 has 336 divisors, whose sum is σ = 2508671088. Its totient is φ = 177666048.

The previous prime is 687126239. The next prime is 687126269. The reversal of 687126240 is 42621786.

687126240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 687126195 and 687126204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5015452 + ... + 5015588.

It is an arithmetic number, because the mean of its divisors is an integer number (7466283).

Almost surely, 2^687126240 is an apocalyptic number.

687126240 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 687126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254335544).

687126240 is an abundant number, since it is smaller than the sum of its proper divisors (1821544848).

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

687126240 is a wasteful number, since it uses less digits than its factorization.

687126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

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

The square root of 687126240 is about 26213.0929117493. The cubic root of 687126240 is about 882.4271150821.

The spelling of 687126240 in words is "six hundred eighty-seven million, one hundred twenty-six thousand, two hundred forty".