1684057672 has 48 divisors (see below), whose sum is σ = 3674957580. Its totient is φ = 720445440.

The previous prime is 1684057667. The next prime is 1684057673. The reversal of 1684057672 is 2767504861.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1344982276 + 339075396 = 36674^2 + 18414^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684057673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34713 + ... + 67624.

Almost surely, 2^1684057672 is an apocalyptic number.

It is an amenable number.

1684057672 is an abundant number, since it is smaller than the sum of its proper divisors (1990899908).

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

1684057672 is a wasteful number, since it uses less digits than its factorization.

1684057672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102382 (or 102367 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 1684057672 is about 41037.2717416741. The cubic root of 1684057672 is about 1189.7407038086.

The spelling of 1684057672 in words is "one billion, six hundred eighty-four million, fifty-seven thousand, six hundred seventy-two".