1073383680 has 288 divisors, whose sum is σ = 3616800768. Its totient is φ = 270950400.

The previous prime is 1073383657. The next prime is 1073383687. The reversal of 1073383680 is 863833701.

1073383680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1073383687) 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, 8451777 + ... + 8451903.

It is an arithmetic number, because the mean of its divisors is an integer number (12558336).

Almost surely, 2^1073383680 is an apocalyptic number.

1073383680 is a gapful number since it is divisible by the number (10) 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 1073383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808400384).

1073383680 is an abundant number, since it is smaller than the sum of its proper divisors (2543417088).

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

1073383680 is a wasteful number, since it uses less digits than its factorization.

1073383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 1073383680 is about 32762.5347004776. The cubic root of 1073383680 is about 1023.8861364280.

The spelling of 1073383680 in words is "one billion, seventy-three million, three hundred eighty-three thousand, six hundred eighty".