1361412936 has 96 divisors (see below), whose sum is σ = 4010380920. Its totient is φ = 414720000.

The previous prime is 1361412931. The next prime is 1361412959. The reversal of 1361412936 is 6392141631.

1361412936 is a `hidden beast` number, since 1 + 3 + 614 + 1 + 2 + 9 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1350562500 + 10850436 = 36750^2 + 3294^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1361412936.

It is not an unprimeable number, because it can be changed into a prime (1361412931) 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 23 ways as a sum of consecutive naturals, for example, 87336 + ... + 101736.

Almost surely, 2^1361412936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361412936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005190460).

1361412936 is an abundant number, since it is smaller than the sum of its proper divisors (2648967984).

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

1361412936 is a wasteful number, since it uses less digits than its factorization.

1361412936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14527 (or 14520 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 1361412936 is about 36897.3296594754. The cubic root of 1361412936 is about 1108.3152039748.

The spelling of 1361412936 in words is "one billion, three hundred sixty-one million, four hundred twelve thousand, nine hundred thirty-six".