1143020880 has 180 divisors, whose sum is σ = 4014136308. Its totient is φ = 291456000.

The previous prime is 1143020863. The next prime is 1143020887. The reversal of 1143020880 is 880203411.

It can be written as a sum of positive squares in 2 ways, for example, as 512207424 + 630813456 = 22632^2 + 25116^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×1143020880³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143020887) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 379380 + ... + 382380.

Almost surely, 2^1143020880 is an apocalyptic number.

1143020880 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 1143020880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007068154).

1143020880 is an abundant number, since it is smaller than the sum of its proper divisors (2871115428).

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

1143020880 is a wasteful number, since it uses less digits than its factorization.

1143020880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1143020880 is about 33808.5918074090. The cubic root of 1143020880 is about 1045.5658451203.

The spelling of 1143020880 in words is "one billion, one hundred forty-three million, twenty thousand, eight hundred eighty".