1143630720 has 192 divisors, whose sum is σ = 3967179840. Its totient is φ = 303575040.

The previous prime is 1143630713. The next prime is 1143630727. The reversal of 1143630720 is 270363411.

1143630720 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 630 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1143630713) and next prime (1143630727).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143630727) 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 23 ways as a sum of consecutive naturals, for example, 2113650 + ... + 2114190.

It is an arithmetic number, because the mean of its divisors is an integer number (20662395).

Almost surely, 2^1143630720 is an apocalyptic number.

1143630720 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 1143630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983589920).

1143630720 is an abundant number, since it is smaller than the sum of its proper divisors (2823549120).

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

1143630720 is a wasteful number, since it uses less digits than its factorization.

1143630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1143630720 is about 33817.6096139275. The cubic root of 1143630720 is about 1045.7517602163.

The spelling of 1143630720 in words is "one billion, one hundred forty-three million, six hundred thirty thousand, seven hundred twenty".