1152786960 has 240 divisors, whose sum is σ = 4224729600. Its totient is φ = 279991296.

The previous prime is 1152786959. The next prime is 1152786961. The reversal of 1152786960 is 696872511.

1152786960 is a `hidden beast` number, since 1 + 1 + 527 + 8 + 69 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1152786959) and next prime (1152786961).

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 not an unprimeable number, because it can be changed into a prime (1152786961) 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, 738661 + ... + 740219.

It is an arithmetic number, because the mean of its divisors is an integer number (17603040).

Almost surely, 2^1152786960 is an apocalyptic number.

1152786960 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 1152786960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112364800).

1152786960 is an abundant number, since it is smaller than the sum of its proper divisors (3071942640).

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

1152786960 is a wasteful number, since it uses less digits than its factorization.

1152786960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1152786960 is about 33952.7165334381. The cubic root of 1152786960 is about 1048.5352092109.

The spelling of 1152786960 in words is "one billion, one hundred fifty-two million, seven hundred eighty-six thousand, nine hundred sixty".