1383583680 has 252 divisors, whose sum is σ = 4949235720. Its totient is φ = 368395776.

The previous prime is 1383583657. The next prime is 1383583703. The reversal of 1383583680 is 863853831.

1383583680 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 583 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1383583657) and next prime (1383583703).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2099191 + ... + 2099849.

Almost surely, 2^1383583680 is an apocalyptic number.

1383583680 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 1383583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474617860).

1383583680 is an abundant number, since it is smaller than the sum of its proper divisors (3565652040).

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

1383583680 is an frugal number, since it uses more digits than its factorization.

1383583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1383583680 is about 37196.5546791635. The cubic root of 1383583680 is about 1114.2991781974.

The spelling of 1383583680 in words is "one billion, three hundred eighty-three million, five hundred eighty-three thousand, six hundred eighty".