1684311840 has 192 divisors, whose sum is σ = 6085739520. Its totient is φ = 434626560.

The previous prime is 1684311799. The next prime is 1684311841. The reversal of 1684311840 is 481134861.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1684311795 and 1684311804.

It is not an unprimeable number, because it can be changed into a prime (1684311841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127632 + ... + 140208.

It is an arithmetic number, because the mean of its divisors is an integer number (31696560).

Almost surely, 2^1684311840 is an apocalyptic number.

1684311840 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 1684311840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042869760).

1684311840 is an abundant number, since it is smaller than the sum of its proper divisors (4401427680).

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

1684311840 is a wasteful number, since it uses less digits than its factorization.

1684311840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12632 (or 12618 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1684311840 is about 41040.3684193990. The cubic root of 1684311840 is about 1189.8005550454.

The spelling of 1684311840 in words is "one billion, six hundred eighty-four million, three hundred eleven thousand, eight hundred forty".