687551040 has 252 divisors, whose sum is σ = 2600741052. Its totient is φ = 166594560.

The previous prime is 687551027. The next prime is 687551041. The reversal of 687551040 is 40155786.

687551040 is a `hidden beast` number, since 68 + 7 + 551 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 195776064 + 491774976 = 13992^2 + 22176^2 .

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 = 687550986 and 687551004.

It is not an unprimeable number, because it can be changed into a prime (687551041) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 347494 + ... + 349466.

It is an arithmetic number, because the mean of its divisors is an integer number (10320401).

Almost surely, 2^687551040 is an apocalyptic number.

687551040 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 687551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300370526).

687551040 is an abundant number, since it is smaller than the sum of its proper divisors (1913190012).

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

687551040 is a wasteful number, since it uses less digits than its factorization.

687551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 687551040 is about 26221.1944808012. The cubic root of 687551040 is about 882.6089243794.

The spelling of 687551040 in words is "six hundred eighty-seven million, five hundred fifty-one thousand, forty".