1306972800 has 384 divisors, whose sum is σ = 5468995200. Its totient is φ = 298598400.

The previous prime is 1306972789. The next prime is 1306972853. The reversal of 1306972800 is 82796031.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603720 + ... + 605880.

It is an arithmetic number, because the mean of its divisors is an integer number (14242175).

Almost surely, 2^1306972800 is an apocalyptic number.

1306972800 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 1306972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734497600).

1306972800 is an abundant number, since it is smaller than the sum of its proper divisors (4162022400).

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

1306972800 is a wasteful number, since it uses less digits than its factorization.

1306972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1306972800 is about 36152.0787784050. The cubic root of 1306972800 is about 1093.3407032354.

The spelling of 1306972800 in words is "one billion, three hundred six million, nine hundred seventy-two thousand, eight hundred".