687288240 has 300 divisors, whose sum is σ = 2542637856. Its totient is φ = 172025856.

The previous prime is 687288193. The next prime is 687288263. The reversal of 687288240 is 42882786.

It is a happy number.

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

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 59 ways as a sum of consecutive naturals, for example, 1872537 + ... + 1872903.

Almost surely, 2^687288240 is an apocalyptic number.

687288240 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 687288240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271318928).

687288240 is an abundant number, since it is smaller than the sum of its proper divisors (1855349616).

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

687288240 is a wasteful number, since it uses less digits than its factorization.

687288240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 687288240 is about 26216.1827884992. The cubic root of 687288240 is about 882.4964579730.

The spelling of 687288240 in words is "six hundred eighty-seven million, two hundred eighty-eight thousand, two hundred forty".