1040665920 has 168 divisors, whose sum is σ = 3843735264. Its totient is φ = 237855744.

The previous prime is 1040665883. The next prime is 1040665921. The reversal of 1040665920 is 295660401.

1040665920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040665921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35979 + ... + 58101.

Almost surely, 2^1040665920 is an apocalyptic number.

1040665920 is a gapful number since it is divisible by the number (10) 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 1040665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921867632).

1040665920 is an abundant number, since it is smaller than the sum of its proper divisors (2803069344).

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

1040665920 is a wasteful number, since it uses less digits than its factorization.

1040665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22157 (or 22140 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1040665920 is about 32259.3539922919. The cubic root of 1040665920 is about 1013.3756022688.

The spelling of 1040665920 in words is "one billion, forty million, six hundred sixty-five thousand, nine hundred twenty".