1361601200 has 60 divisors (see below), whose sum is σ = 3303733488. Its totient is φ = 539232000.

The previous prime is 1361601193. The next prime is 1361601209. The reversal of 1361601200 is 21061631.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1361601209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23549 + ... + 57251.

Almost surely, 2^1361601200 is an apocalyptic number.

1361601200 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 1361601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651866744).

1361601200 is an abundant number, since it is smaller than the sum of its proper divisors (1942132288).

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

1361601200 is a wasteful number, since it uses less digits than its factorization.

1361601200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33822 (or 33811 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1361601200 is about 36899.8807586149. The cubic root of 1361601200 is about 1108.3662896840.

Adding to 1361601200 its reverse (21061631), we get a palindrome (1382662831).

The spelling of 1361601200 in words is "one billion, three hundred sixty-one million, six hundred one thousand, two hundred".