1320614400 has 480 divisors, whose sum is σ = 5297339520. Its totient is φ = 284098560.

The previous prime is 1320614381. The next prime is 1320614401. The reversal of 1320614400 is 44160231.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1700 × 476 × 1632.

It is not an unprimeable number, because it can be changed into a prime (1320614401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77683192 + ... + 77683208.

It is an arithmetic number, because the mean of its divisors is an integer number (11036124).

Almost surely, 2^1320614400 is an apocalyptic number.

1320614400 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 1320614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648669760).

1320614400 is an abundant number, since it is smaller than the sum of its proper divisors (3976725120).

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

1320614400 is an frugal number, since it uses more digits than its factorization.

1320614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1320614400 is about 36340.2586672137. The cubic root of 1320614400 is about 1097.1314792967.

Adding to 1320614400 its reverse (44160231), we get a palindrome (1364774631).

The spelling of 1320614400 in words is "one billion, three hundred twenty million, six hundred fourteen thousand, four hundred".