1080961300 has 72 divisors (see below), whose sum is σ = 2487514400. Its totient is φ = 406581120.

The previous prime is 1080961163. The next prime is 1080961313. The reversal of 1080961300 is 31690801.

1080961300 = 121³ + 122³ + ... + 259³.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 262054 + ... + 266146.

Almost surely, 2^1080961300 is an apocalyptic number.

1080961300 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 1080961300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243757200).

1080961300 is an abundant number, since it is smaller than the sum of its proper divisors (1406553100).

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

1080961300 is a wasteful number, since it uses less digits than its factorization.

1080961300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1080961300 is about 32877.9759109347. The cubic root of 1080961300 is about 1026.2898851185.

The spelling of 1080961300 in words is "one billion, eighty million, nine hundred sixty-one thousand, three hundred".