1153963680 has 96 divisors (see below), whose sum is σ = 3645057024. Its totient is φ = 306871296.

The previous prime is 1153963663. The next prime is 1153963687. The reversal of 1153963680 is 863693511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1153963687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180702 + ... + 186978.

It is an arithmetic number, because the mean of its divisors is an integer number (37969344).

Almost surely, 2^1153963680 is an apocalyptic number.

1153963680 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 1153963680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822528512).

1153963680 is an abundant number, since it is smaller than the sum of its proper divisors (2491093344).

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

1153963680 is a wasteful number, since it uses less digits than its factorization.

1153963680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6678 (or 6670 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 1153963680 is about 33970.0409184328. The cubic root of 1153963680 is about 1048.8918558467.

The spelling of 1153963680 in words is "one billion, one hundred fifty-three million, nine hundred sixty-three thousand, six hundred eighty".