684057140 has 24 divisors (see below), whose sum is σ = 1547022120. Its totient is φ = 252574848.

The previous prime is 684057119. The next prime is 684057149. The reversal of 684057140 is 41750486.

It can be written as a sum of positive squares in 4 ways, for example, as 23464336 + 660592804 = 4844^2 + 25702^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 684057140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684057149) 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 7 ways as a sum of consecutive naturals, for example, 1315235 + ... + 1315754.

It is an arithmetic number, because the mean of its divisors is an integer number (64459255).

Almost surely, 2^684057140 is an apocalyptic number.

It is an amenable number.

684057140 is an abundant number, since it is smaller than the sum of its proper divisors (862964980).

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

684057140 is a wasteful number, since it uses less digits than its factorization.

684057140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631011 (or 2631009 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 684057140 is about 26154.4860396835. The cubic root of 684057140 is about 881.1113455547. Note that the first 3 decimals are identical.

The spelling of 684057140 in words is "six hundred eighty-four million, fifty-seven thousand, one hundred forty".