1684361952 has 480 divisors, whose sum is σ = 6294036672. Its totient is φ = 429981696.

The previous prime is 1684361941. The next prime is 1684361953. The reversal of 1684361952 is 2591634861.

1684361952 is a `hidden beast` number, since 168 + 436 + 1 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1684361898 and 1684361907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684361953) 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 79 ways as a sum of consecutive naturals, for example, 8727168 + ... + 8727360.

Almost surely, 2^1684361952 is an apocalyptic number.

1684361952 is a gapful number since it is divisible by the number (12) 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 1684361952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147018336).

1684361952 is an abundant number, since it is smaller than the sum of its proper divisors (4609674720).

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

1684361952 is a wasteful number, since it uses less digits than its factorization.

1684361952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1684361952 is about 41040.9789356930. The cubic root of 1684361952 is about 1189.8123546605.

The spelling of 1684361952 in words is "one billion, six hundred eighty-four million, three hundred sixty-one thousand, nine hundred fifty-two".