1684079880 has 256 divisors, whose sum is σ = 6018624000. Its totient is φ = 368836608.

The previous prime is 1684079869. The next prime is 1684079899. The reversal of 1684079880 is 889704861.

It is a super-2 number, since 2×1684079880² = 5672250084441628800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6260386 + ... + 6260654.

It is an arithmetic number, because the mean of its divisors is an integer number (23510250).

Almost surely, 2^1684079880 is an apocalyptic number.

1684079880 is a gapful number since it is divisible by the number (10) 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 1684079880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009312000).

1684079880 is an abundant number, since it is smaller than the sum of its proper divisors (4334544120).

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

1684079880 is a wasteful number, since it uses less digits than its factorization.

1684079880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 1684079880 is about 41037.5423240720. The cubic root of 1684079880 is about 1189.7459335673.

The spelling of 1684079880 in words is "one billion, six hundred eighty-four million, seventy-nine thousand, eight hundred eighty".