1361927100 has 72 divisors (see below), whose sum is σ = 3953215728. Its totient is φ = 362009600.

The previous prime is 1361927093. The next prime is 1361927101. The reversal of 1361927100 is 17291631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361927101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87940 + ... + 102260.

It is an arithmetic number, because the mean of its divisors is an integer number (54905774).

Almost surely, 2^1361927100 is an apocalyptic number.

1361927100 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 1361927100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976607864).

1361927100 is an abundant number, since it is smaller than the sum of its proper divisors (2591288628).

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

1361927100 is a wasteful number, since it uses less digits than its factorization.

1361927100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14655 (or 14648 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 1361927100 is about 36904.2964978334. The cubic root of 1361927100 is about 1108.4547119912.

The spelling of 1361927100 in words is "one billion, three hundred sixty-one million, nine hundred twenty-seven thousand, one hundred".