1324114000 has 160 divisors (see below), whose sum is σ = 3526024320. Its totient is φ = 476928000.

The previous prime is 1324113977. The next prime is 1324114019. The reversal of 1324114000 is 4114231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3057784 + ... + 3058216.

It is an arithmetic number, because the mean of its divisors is an integer number (22037652).

Almost surely, 2^1324114000 is an apocalyptic number.

1324114000 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 1324114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763012160).

1324114000 is an abundant number, since it is smaller than the sum of its proper divisors (2201910320).

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

1324114000 is a wasteful number, since it uses less digits than its factorization.

1324114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1324114000 is about 36388.3772652752. The cubic root of 1324114000 is about 1098.0997495097.

Adding to 1324114000 its reverse (4114231), we get a palindrome (1328228231).

The spelling of 1324114000 in words is "one billion, three hundred twenty-four million, one hundred fourteen thousand".