1684530540 has 576 divisors, whose sum is σ = 6864076800. Its totient is φ = 335301120.

The previous prime is 1684530521. The next prime is 1684530563. The reversal of 1684530540 is 450354861.

It is a happy number.

1684530540 is a `hidden beast` number, since 1 + 6 + 84 + 5 + 30 + 540 = 666.

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 = 1684530495 and 1684530504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13263957 + ... + 13264083.

It is an arithmetic number, because the mean of its divisors is an integer number (11916800).

Almost surely, 2^1684530540 is an apocalyptic number.

1684530540 is a gapful number since it is divisible by the number (10) 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 1684530540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432038400).

1684530540 is an abundant number, since it is smaller than the sum of its proper divisors (5179546260).

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

1684530540 is a wasteful number, since it uses less digits than its factorization.

1684530540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1684530540 is about 41043.0327826782. The cubic root of 1684530540 is about 1189.8520494923.

The spelling of 1684530540 in words is "one billion, six hundred eighty-four million, five hundred thirty thousand, five hundred forty".