1040193360 has 80 divisors (see below), whose sum is σ = 3582895680. Its totient is φ = 277384320.

The previous prime is 1040193311. The next prime is 1040193367. The reversal of 1040193360 is 633910401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040193367) 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 15 ways as a sum of consecutive naturals, for example, 238626 + ... + 242945.

It is an arithmetic number, because the mean of its divisors is an integer number (44786196).

Almost surely, 2^1040193360 is an apocalyptic number.

1040193360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040193360 is an abundant number, since it is smaller than the sum of its proper divisors (2542702320).

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

1040193360 is a wasteful number, since it uses less digits than its factorization.

1040193360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481593 (or 481581 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1040193360 is about 32252.0287733966. The cubic root of 1040193360 is about 1013.2221898338. Note that the first 3 decimals are identical.

The spelling of 1040193360 in words is "one billion, forty million, one hundred ninety-three thousand, three hundred sixty".