1040745168 has 120 divisors (see below), whose sum is σ = 3156012288. Its totient is φ = 318882816.

The previous prime is 1040745163. The next prime is 1040745221. The reversal of 1040745168 is 8615470401.

It is a happy number.

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 (1040745163) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 100321 + ... + 110207.

Almost surely, 2^1040745168 is an apocalyptic number.

1040745168 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 1040745168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578006144).

1040745168 is an abundant number, since it is smaller than the sum of its proper divisors (2115267120).

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

1040745168 is a wasteful number, since it uses less digits than its factorization.

1040745168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9961 (or 9952 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1040745168 is about 32260.5822638092. The cubic root of 1040745168 is about 1013.4013248854.

The spelling of 1040745168 in words is "one billion, forty million, seven hundred forty-five thousand, one hundred sixty-eight".