684357660 has 240 divisors, whose sum is σ = 2539373760. Its totient is φ = 150958080.

The previous prime is 684357649. The next prime is 684357673. The reversal of 684357660 is 66753486.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 327820 + ... + 329900.

It is an arithmetic number, because the mean of its divisors is an integer number (10580724).

Almost surely, 2^684357660 is an apocalyptic number.

684357660 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 684357660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269686880).

684357660 is an abundant number, since it is smaller than the sum of its proper divisors (1855016100).

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

684357660 is a wasteful number, since it uses less digits than its factorization.

684357660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 684357660 is about 26160.2305035716. The cubic root of 684357660 is about 881.2403566170.

The spelling of 684357660 in words is "six hundred eighty-four million, three hundred fifty-seven thousand, six hundred sixty".