687595040 has 96 divisors (see below), whose sum is σ = 1789796736. Its totient is φ = 247541760.

The previous prime is 687595037. The next prime is 687595049. The reversal of 687595040 is 40595786.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 687594982 and 687595000.

It is not an unprimeable number, because it can be changed into a prime (687595049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179384 + ... + 183176.

It is an arithmetic number, because the mean of its divisors is an integer number (18643716).

Almost surely, 2^687595040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687595040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894898368).

687595040 is an abundant number, since it is smaller than the sum of its proper divisors (1102201696).

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

687595040 is a wasteful number, since it uses less digits than its factorization.

687595040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 687595040 is about 26222.0334833132. The cubic root of 687595040 is about 882.6277515704.

The spelling of 687595040 in words is "six hundred eighty-seven million, five hundred ninety-five thousand, forty".