1152975648 has 192 divisors, whose sum is σ = 3541128192. Its totient is φ = 324910080.

The previous prime is 1152975643. The next prime is 1152975661. The reversal of 1152975648 is 8465792511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1152975597 and 1152975606.

It is not an unprimeable number, because it can be changed into a prime (1152975643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898015 + ... + 899297.

It is an arithmetic number, because the mean of its divisors is an integer number (18443376).

Almost surely, 2^1152975648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152975648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770564096).

1152975648 is an abundant number, since it is smaller than the sum of its proper divisors (2388152544).

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

1152975648 is a wasteful number, since it uses less digits than its factorization.

1152975648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1359 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The square root of 1152975648 is about 33955.4951075669. The cubic root of 1152975648 is about 1048.5924141195.

The spelling of 1152975648 in words is "one billion, one hundred fifty-two million, nine hundred seventy-five thousand, six hundred forty-eight".