687486240 has 288 divisors, whose sum is σ = 2701835136. Its totient is φ = 155934720.

The previous prime is 687486227. The next prime is 687486269. The reversal of 687486240 is 42684786.

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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2429139 + ... + 2429421.

It is an arithmetic number, because the mean of its divisors is an integer number (9381372).

Almost surely, 2^687486240 is an apocalyptic number.

687486240 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 687486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350917568).

687486240 is an abundant number, since it is smaller than the sum of its proper divisors (2014348896).

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

687486240 is a wasteful number, since it uses less digits than its factorization.

687486240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 687486240 is about 26219.9588100363. The cubic root of 687486240 is about 882.5811955991.

The spelling of 687486240 in words is "six hundred eighty-seven million, four hundred eighty-six thousand, two hundred forty".