1684031616 has 96 divisors (see below), whose sum is σ = 4977074700. Its totient is φ = 546158592.

The previous prime is 1684031527. The next prime is 1684031621. The reversal of 1684031616 is 6161304861.

1684031616 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 0 + 31 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1674446400 + 9585216 = 40920^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22870 + ... + 62378.

Almost surely, 2^1684031616 is an apocalyptic number.

1684031616 is a gapful number since it is divisible by the number (16) 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 1684031616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488537350).

1684031616 is an abundant number, since it is smaller than the sum of its proper divisors (3293043084).

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

1684031616 is a wasteful number, since it uses less digits than its factorization.

1684031616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39566 (or 39551 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1684031616 is about 41036.9542729477. The cubic root of 1684031616 is about 1189.7345678264.

The spelling of 1684031616 in words is "one billion, six hundred eighty-four million, thirty-one thousand, six hundred sixteen".