1140032320 has 56 divisors (see below), whose sum is σ = 3102522624. Its totient is φ = 390867456.

The previous prime is 1140032293. The next prime is 1140032321. The reversal of 1140032320 is 232300411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1140032294 and 1140032303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140032321) 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 7 ways as a sum of consecutive naturals, for example, 252232 + ... + 256711.

Almost surely, 2^1140032320 is an apocalyptic number.

1140032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140032320 is an abundant number, since it is smaller than the sum of its proper divisors (1962490304).

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

1140032320 is an equidigital number, since it uses as much as digits as its factorization.

1140032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508967 (or 508957 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1140032320 is about 33764.3646467692. The cubic root of 1140032320 is about 1044.6537989196.

Adding to 1140032320 its reverse (232300411), we get a palindrome (1372332731).

The spelling of 1140032320 in words is "one billion, one hundred forty million, thirty-two thousand, three hundred twenty".