1040811768 has 192 divisors, whose sum is σ = 3038555520. Its totient is φ = 333590400.

The previous prime is 1040811749. The next prime is 1040811781. The reversal of 1040811768 is 8671180401.

1040811768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7945063 + ... + 7945193.

It is an arithmetic number, because the mean of its divisors is an integer number (15825810).

Almost surely, 2^1040811768 is an apocalyptic number.

1040811768 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 1040811768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519277760).

1040811768 is an abundant number, since it is smaller than the sum of its proper divisors (1997743752).

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

1040811768 is a wasteful number, since it uses less digits than its factorization.

1040811768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1040811768 is about 32261.6144667312. The cubic root of 1040811768 is about 1013.4229411563.

The spelling of 1040811768 in words is "one billion, forty million, eight hundred eleven thousand, seven hundred sixty-eight".