1361872764 has 120 divisors (see below), whose sum is σ = 4179030240. Its totient is φ = 378566784.

The previous prime is 1361872739. The next prime is 1361872777. The reversal of 1361872764 is 4672781631.

1361872764 is a `hidden beast` number, since 1 + 3 + 618 + 7 + 27 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75802 + ... + 92030.

It is an arithmetic number, because the mean of its divisors is an integer number (34825252).

Almost surely, 2^1361872764 is an apocalyptic number.

1361872764 is a gapful number since it is divisible by the number (14) 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 1361872764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089515120).

1361872764 is an abundant number, since it is smaller than the sum of its proper divisors (2817157476).

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

1361872764 is a wasteful number, since it uses less digits than its factorization.

1361872764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16289 (or 16278 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 1361872764 is about 36903.5603160454. The cubic root of 1361872764 is about 1108.4399706744.

The spelling of 1361872764 in words is "one billion, three hundred sixty-one million, eight hundred seventy-two thousand, seven hundred sixty-four".