1152675888 has 480 divisors, whose sum is σ = 4190731776. Its totient is φ = 264757248.

The previous prime is 1152675857. The next prime is 1152675899. The reversal of 1152675888 is 8885762511.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1152675888.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26806395 + ... + 26806437.

Almost surely, 2^1152675888 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 1152675888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095365888).

1152675888 is an abundant number, since it is smaller than the sum of its proper divisors (3038055888).

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

1152675888 is a wasteful number, since it uses less digits than its factorization.

1152675888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 104 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 51.

The square root of 1152675888 is about 33951.0808075384. The cubic root of 1152675888 is about 1048.5015323774.

The spelling of 1152675888 in words is "one billion, one hundred fifty-two million, six hundred seventy-five thousand, eight hundred eighty-eight".