1361085768 has 192 divisors, whose sum is σ = 4520880000. Its totient is φ = 375363072.

The previous prime is 1361085731. The next prime is 1361085787. The reversal of 1361085768 is 8675801631.

1361085768 is a `hidden beast` number, since 13 + 61 + 0 + 8 + 576 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392908 + ... + 396356.

It is an arithmetic number, because the mean of its divisors is an integer number (23546250).

Almost surely, 2^1361085768 is an apocalyptic number.

1361085768 is a gapful number since it is divisible by the number (18) 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 1361085768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260440000).

1361085768 is an abundant number, since it is smaller than the sum of its proper divisors (3159794232).

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

1361085768 is a wasteful number, since it uses less digits than its factorization.

1361085768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1361085768 is about 36892.8959015147. The cubic root of 1361085768 is about 1108.2264152589.

The spelling of 1361085768 in words is "one billion, three hundred sixty-one million, eighty-five thousand, seven hundred sixty-eight".