1382088960 has 576 divisors, whose sum is σ = 5827852800. Its totient is φ = 303464448.

The previous prime is 1382088947. The next prime is 1382088971. The reversal of 1382088960 is 698802831.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7015582 + ... + 7015778.

It is an arithmetic number, because the mean of its divisors is an integer number (10117800).

Almost surely, 2^1382088960 is an apocalyptic number.

1382088960 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 1382088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913926400).

1382088960 is an abundant number, since it is smaller than the sum of its proper divisors (4445763840).

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

1382088960 is a wasteful number, since it uses less digits than its factorization.

1382088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1382088960 is about 37176.4570662671. The cubic root of 1382088960 is about 1113.8977652011.

The spelling of 1382088960 in words is "one billion, three hundred eighty-two million, eighty-eight thousand, nine hundred sixty".