1361066784 has 192 divisors, whose sum is σ = 4716859392. Its totient is φ = 332697600.

The previous prime is 1361066783. The next prime is 1361066797. The reversal of 1361066784 is 4876601631.

1361066784 = 4617² + 4618² + ... + 4679².

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (1361066783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120249 + ... + 131079.

It is an arithmetic number, because the mean of its divisors is an integer number (24566976).

Almost surely, 2^1361066784 is an apocalyptic number.

1361066784 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 1361066784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358429696).

1361066784 is an abundant number, since it is smaller than the sum of its proper divisors (3355792608).

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

1361066784 is a wasteful number, since it uses less digits than its factorization.

1361066784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10879 (or 10871 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1361066784 is about 36892.6386153119. The cubic root of 1361066784 is about 1108.2212628361.

The spelling of 1361066784 in words is "one billion, three hundred sixty-one million, sixty-six thousand, seven hundred eighty-four".