1080385152 has 256 divisors, whose sum is σ = 3642624000. Its totient is φ = 275558400.

The previous prime is 1080385133. The next prime is 1080385157. The reversal of 1080385152 is 2515830801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1080385157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1803349 + ... + 1803947.

It is an arithmetic number, because the mean of its divisors is an integer number (14229000).

Almost surely, 2^1080385152 is an apocalyptic number.

1080385152 is a gapful number since it is divisible by the number (12) 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 1080385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821312000).

1080385152 is an abundant number, since it is smaller than the sum of its proper divisors (2562238848).

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

1080385152 is a wasteful number, since it uses less digits than its factorization.

1080385152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 1080385152 is about 32869.2128290289. The cubic root of 1080385152 is about 1026.1075165951.

The spelling of 1080385152 in words is "one billion, eighty million, three hundred eighty-five thousand, one hundred fifty-two".