1089852768 has 144 divisors (see below), whose sum is σ = 3286483200. Its totient is φ = 341625600.

The previous prime is 1089852733. The next prime is 1089852781. The reversal of 1089852768 is 8672589801.

1089852768 is a `hidden beast` number, since 108 + 9 + 8 + 527 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825613 + ... + 826931.

It is an arithmetic number, because the mean of its divisors is an integer number (22822800).

Almost surely, 2^1089852768 is an apocalyptic number.

1089852768 is a gapful number since it is divisible by the number (18) 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 1089852768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643241600).

1089852768 is an abundant number, since it is smaller than the sum of its proper divisors (2196630432).

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

1089852768 is a wasteful number, since it uses less digits than its factorization.

1089852768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 1089852768 is about 33012.9181987900. The cubic root of 1089852768 is about 1029.0961272668.

The spelling of 1089852768 in words is "one billion, eighty-nine million, eight hundred fifty-two thousand, seven hundred sixty-eight".