1364068200 has 384 divisors, whose sum is σ = 4885401600. Its totient is φ = 311808000.

The previous prime is 1364068193. The next prime is 1364068217. The reversal of 1364068200 is 28604631.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 12071344 + ... + 12071456.

It is an arithmetic number, because the mean of its divisors is an integer number (12722400).

Almost surely, 2^1364068200 is an apocalyptic number.

1364068200 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 1364068200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442700800).

1364068200 is an abundant number, since it is smaller than the sum of its proper divisors (3521333400).

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

1364068200 is a wasteful number, since it uses less digits than its factorization.

1364068200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1364068200 is about 36933.2939229633. The cubic root of 1364068200 is about 1109.0352789848.

The spelling of 1364068200 in words is "one billion, three hundred sixty-four million, sixty-eight thousand, two hundred".