1143362880 has 504 divisors, whose sum is σ = 4600703016. Its totient is φ = 259522560.

The previous prime is 1143362873. The next prime is 1143362893. The reversal of 1143362880 is 882633411.

It can be written as a sum of positive squares in 4 ways, for example, as 122943744 + 1020419136 = 11088^2 + 31944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5924064 + ... + 5924256.

It is an arithmetic number, because the mean of its divisors is an integer number (9128379).

Almost surely, 2^1143362880 is an apocalyptic number.

1143362880 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 1143362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300351508).

1143362880 is an abundant number, since it is smaller than the sum of its proper divisors (3457340136).

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

1143362880 is a wasteful number, since it uses less digits than its factorization.

1143362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1143362880 is about 33813.6493150325. The cubic root of 1143362880 is about 1045.6701149743.

The spelling of 1143362880 in words is "one billion, one hundred forty-three million, three hundred sixty-two thousand, eight hundred eighty".