1321684992 has 416 divisors, whose sum is σ = 4482115200. Its totient is φ = 382205952.

The previous prime is 1321684961. The next prime is 1321684993. The reversal of 1321684992 is 2994861231.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321684993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35721198 + ... + 35721234.

Almost surely, 2^1321684992 is an apocalyptic number.

1321684992 is a gapful number since it is divisible by the number (12) 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 1321684992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241057600).

1321684992 is an abundant number, since it is smaller than the sum of its proper divisors (3160430208).

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

1321684992 is a wasteful number, since it uses less digits than its factorization.

1321684992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 1321684992 is about 36354.9857928730. The cubic root of 1321684992 is about 1097.4278723810.

The spelling of 1321684992 in words is "one billion, three hundred twenty-one million, six hundred eighty-four thousand, nine hundred ninety-two".