1361327800 has 144 divisors (see below), whose sum is σ = 3801453120. Its totient is φ = 451584000.

The previous prime is 1361327777. The next prime is 1361327813. The reversal of 1361327800 is 87231631.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 301560 + ... + 306040.

It is an arithmetic number, because the mean of its divisors is an integer number (26398980).

Almost surely, 2^1361327800 is an apocalyptic number.

1361327800 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 1361327800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900726560).

1361327800 is an abundant number, since it is smaller than the sum of its proper divisors (2440125320).

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

1361327800 is a wasteful number, since it uses less digits than its factorization.

1361327800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 1361327800 is about 36896.1759536134. The cubic root of 1361327800 is about 1108.2921006514.

The spelling of 1361327800 in words is "one billion, three hundred sixty-one million, three hundred twenty-seven thousand, eight hundred".