1081188768 has 96 divisors (see below), whose sum is σ = 3259146240. Its totient is φ = 310383360.

The previous prime is 1081188743. The next prime is 1081188769. The reversal of 1081188768 is 8678811801.

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

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1081188769) 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, 6880 + ... + 47007.

It is an arithmetic number, because the mean of its divisors is an integer number (33949440).

Almost surely, 2^1081188768 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 1081188768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629573120).

1081188768 is an abundant number, since it is smaller than the sum of its proper divisors (2177957472).

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

1081188768 is a wasteful number, since it uses less digits than its factorization.

1081188768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53930 (or 53922 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 48.

The square root of 1081188768 is about 32881.4350051819. The cubic root of 1081188768 is about 1026.3618678788.

It can be divided in two parts, 108118 and 8768, that added together give a triangular number (116886 = T₄₈₃).

The spelling of 1081188768 in words is "one billion, eighty-one million, one hundred eighty-eight thousand, seven hundred sixty-eight".