1152589680 has 240 divisors, whose sum is σ = 4246201440. Its totient is φ = 277862400.

The previous prime is 1152589667. The next prime is 1152589687. The reversal of 1152589680 is 869852511.

It is a happy number.

1152589680 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 589 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152589687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2130210 + ... + 2130750.

It is an arithmetic number, because the mean of its divisors is an integer number (17692506).

Almost surely, 2^1152589680 is an apocalyptic number.

1152589680 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 1152589680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123100720).

1152589680 is an abundant number, since it is smaller than the sum of its proper divisors (3093611760).

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

1152589680 is a wasteful number, since it uses less digits than its factorization.

1152589680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 1152589680 is about 33949.8111924058. The cubic root of 1152589680 is about 1048.4753927734.

The spelling of 1152589680 in words is "one billion, one hundred fifty-two million, five hundred eighty-nine thousand, six hundred eighty".