1011327768 has 160 divisors (see below), whose sum is σ = 3149649360. Its totient is φ = 300568320.

The previous prime is 1011327767. The next prime is 1011327799. The reversal of 1011327768 is 8677231101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011327767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 376446 + ... + 379122.

Almost surely, 2^1011327768 is an apocalyptic number.

1011327768 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 1011327768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574824680).

1011327768 is an abundant number, since it is smaller than the sum of its proper divisors (2138321592).

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

1011327768 is a wasteful number, since it uses less digits than its factorization.

1011327768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1011327768 is about 31801.3799700579. The cubic root of 1011327768 is about 1003.7617541286.

Adding to 1011327768 its reverse (8677231101), we get a palindrome (9688558869).

It can be divided in two parts, 101132 and 7768, that added together give a square (108900 = 330²).

The spelling of 1011327768 in words is "one billion, eleven million, three hundred twenty-seven thousand, seven hundred sixty-eight".