1152535776 has 96 divisors (see below), whose sum is σ = 3471890688. Its totient is φ = 327936000.

The previous prime is 1152535771. The next prime is 1152535793. The reversal of 1152535776 is 6775352511.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152535771) 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, 165256 + ... + 172088.

It is an arithmetic number, because the mean of its divisors is an integer number (36165528).

Almost surely, 2^1152535776 is an apocalyptic number.

1152535776 is a gapful number since it is divisible by the number (16) 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 1152535776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735945344).

1152535776 is an abundant number, since it is smaller than the sum of its proper divisors (2319354912).

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

1152535776 is a wasteful number, since it uses less digits than its factorization.

1152535776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7104 (or 7096 counting only the distinct ones).

The product of its digits is 220500, while the sum is 42.

The square root of 1152535776 is about 33949.0173053654. The cubic root of 1152535776 is about 1048.4590475815.

The spelling of 1152535776 in words is "one billion, one hundred fifty-two million, five hundred thirty-five thousand, seven hundred seventy-six".