1684981248 has 160 divisors (see below), whose sum is σ = 4793237856. Its totient is φ = 524156928.

The previous prime is 1684981211. The next prime is 1684981271. The reversal of 1684981248 is 8421894861.

It is a super-2 number, since 2×1684981248² = 5678323612223275008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1684981248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4517190 + ... + 4517562.

Almost surely, 2^1684981248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1684981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396618928).

1684981248 is an abundant number, since it is smaller than the sum of its proper divisors (3108256608).

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

1684981248 is a wasteful number, since it uses less digits than its factorization.

1684981248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 568 counting only the distinct ones).

The product of its digits is 884736, while the sum is 51.

The square root of 1684981248 is about 41048.5230915803. The cubic root of 1684981248 is about 1189.9581577925.

The spelling of 1684981248 in words is "one billion, six hundred eighty-four million, nine hundred eighty-one thousand, two hundred forty-eight".