1684663488 has 112 divisors (see below), whose sum is σ = 5058216960. Its totient is φ = 549580032.

The previous prime is 1684663471. The next prime is 1684663489. The reversal of 1684663488 is 8843664861.

1684663488 is a `hidden beast` number, since 1 + 68 + 46 + 63 + 488 = 666.

It is a super-2 number, since 2×1684663488² = 5676182135600652288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1684663489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70845 + ... + 91587.

Almost surely, 2^1684663488 is an apocalyptic number.

1684663488 is a gapful number since it is divisible by the number (18) 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 1684663488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529108480).

1684663488 is an abundant number, since it is smaller than the sum of its proper divisors (3373553472).

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

1684663488 is a wasteful number, since it uses less digits than its factorization.

1684663488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20811 (or 20795 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 1684663488 is about 41044.6523678786. The cubic root of 1684663488 is about 1189.8833508520.

The spelling of 1684663488 in words is "one billion, six hundred eighty-four million, six hundred sixty-three thousand, four hundred eighty-eight".