1684760640 has 112 divisors (see below), whose sum is σ = 5473647168. Its totient is φ = 438810624.

The previous prime is 1684760621. The next prime is 1684760657. The reversal of 1684760640 is 460674861.

It is a junction number, because it is equal to n+sod(n) for n = 1684760592 and 1684760601.

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, 20874 + ... + 61686.

Almost surely, 2^1684760640 is an apocalyptic number.

1684760640 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 1684760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736823584).

1684760640 is an abundant number, since it is smaller than the sum of its proper divisors (3788886528).

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

1684760640 is a wasteful number, since it uses less digits than its factorization.

1684760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40876 (or 40866 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 1684760640 is about 41045.8358423848. The cubic root of 1684760640 is about 1189.9062233378.

The spelling of 1684760640 in words is "one billion, six hundred eighty-four million, seven hundred sixty thousand, six hundred forty".