1366972200 has 288 divisors, whose sum is σ = 5195604960. Its totient is φ = 331257600.

The previous prime is 1366972183. The next prime is 1366972207. The reversal of 1366972200 is 22796631.

1366972200 is a `hidden beast` number, since 1 + 366 + 97 + 2 + 200 = 666.

It is a super-2 number, since 2×1366972200² = 3737225991145680000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1366972207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 533322 + ... + 535878.

It is an arithmetic number, because the mean of its divisors is an integer number (18040295).

Almost surely, 2^1366972200 is an apocalyptic number.

1366972200 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 1366972200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597802480).

1366972200 is an abundant number, since it is smaller than the sum of its proper divisors (3828632760).

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

1366972200 is a wasteful number, since it uses less digits than its factorization.

1366972200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1366972200 is about 36972.5871423681. The cubic root of 1366972200 is about 1109.8217390873.

Subtracting from 1366972200 its reverse (22796631), we obtain a square (1344175569 = 36663²).

The spelling of 1366972200 in words is "one billion, three hundred sixty-six million, nine hundred seventy-two thousand, two hundred".