1361696832 has 140 divisors (see below), whose sum is σ = 4060391676. Its totient is φ = 451215360.

The previous prime is 1361696803. The next prime is 1361696881. The reversal of 1361696832 is 2386961631.

It can be written as a sum of positive squares in 2 ways, for example, as 279023616 + 1082673216 = 16704^2 + 32904^2 .

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 999832 + ... + 1001192.

Almost surely, 2^1361696832 is an apocalyptic number.

1361696832 is a gapful number since it is divisible by the number (12) 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 1361696832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030195838).

1361696832 is an abundant number, since it is smaller than the sum of its proper divisors (2698694844).

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

1361696832 is a wasteful number, since it uses less digits than its factorization.

1361696832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1559 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 1361696832 is about 36901.1765666083. The cubic root of 1361696832 is about 1108.3922377623.

The spelling of 1361696832 in words is "one billion, three hundred sixty-one million, six hundred ninety-six thousand, eight hundred thirty-two".