1361816960 has 128 divisors (see below), whose sum is σ = 3939762240. Its totient is φ = 439418880.

The previous prime is 1361816957. The next prime is 1361816969. The reversal of 1361816960 is 696181631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361816969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67220 + ... + 85100.

Almost surely, 2^1361816960 is an apocalyptic number.

1361816960 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 1361816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969881120).

1361816960 is an abundant number, since it is smaller than the sum of its proper divisors (2577945280).

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

1361816960 is a wasteful number, since it uses less digits than its factorization.

1361816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17924 (or 17912 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 1361816960 is about 36902.8042294891. The cubic root of 1361816960 is about 1108.4248306823.

The spelling of 1361816960 in words is "one billion, three hundred sixty-one million, eight hundred sixteen thousand, nine hundred sixty".