1152000240 has 160 divisors (see below), whose sum is σ = 3798239040. Its totient is φ = 288833536.

The previous prime is 1152000233. The next prime is 1152000251. The reversal of 1152000240 is 420002511.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 1178632 + ... + 1179608.

It is an arithmetic number, because the mean of its divisors is an integer number (23738994).

Almost surely, 2^1152000240 is an apocalyptic number.

1152000240 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 1152000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899119520).

1152000240 is an abundant number, since it is smaller than the sum of its proper divisors (2646238800).

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

1152000240 is an equidigital number, since it uses as much as digits as its factorization.

1152000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1152000240 is about 33941.1290324880. The cubic root of 1152000240 is about 1048.2966304819.

Adding to 1152000240 its reverse (420002511), we get a palindrome (1572002751).

The spelling of 1152000240 in words is "one billion, one hundred fifty-two million, two hundred forty", and thus it is an aban number.