1686399264 has 360 divisors, whose sum is σ = 5758719120. Its totient is φ = 482423040.

The previous prime is 1686399227. The next prime is 1686399311. The reversal of 1686399264 is 4629936861.

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 a self number, because there is not a number n which added to its sum of digits gives 1686399264.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5958867 + ... + 5959149.

It is an arithmetic number, because the mean of its divisors is an integer number (15996442).

Almost surely, 2^1686399264 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 1686399264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879359560).

1686399264 is an abundant number, since it is smaller than the sum of its proper divisors (4072319856).

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

1686399264 is a wasteful number, since it uses less digits than its factorization.

1686399264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 318 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 1686399264 is about 41065.7918954450. The cubic root of 1686399264 is about 1190.2918720075.

The spelling of 1686399264 in words is "one billion, six hundred eighty-six million, three hundred ninety-nine thousand, two hundred sixty-four".