1383516960 has 288 divisors, whose sum is σ = 5160697920. Its totient is φ = 310560768.

The previous prime is 1383516947. The next prime is 1383516971. The reversal of 1383516960 is 696153831.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1387182 + ... + 1388178.

It is an arithmetic number, because the mean of its divisors is an integer number (17919090).

Almost surely, 2^1383516960 is an apocalyptic number.

1383516960 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 1383516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580348960).

1383516960 is an abundant number, since it is smaller than the sum of its proper divisors (3777180960).

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

1383516960 is a wasteful number, since it uses less digits than its factorization.

1383516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 1383516960 is about 37195.6578110940. The cubic root of 1383516960 is about 1114.2812664423.

The spelling of 1383516960 in words is "one billion, three hundred eighty-three million, five hundred sixteen thousand, nine hundred sixty".