1145833600 has 48 divisors (see below), whose sum is σ = 2830574970. Its totient is φ = 458332160.

The previous prime is 1145833597. The next prime is 1145833603. The reversal of 1145833600 is 63385411.

It is an interprime number because it is at equal distance from previous prime (1145833597) and next prime (1145833603).

It can be written as a sum of positive squares in 3 ways, for example, as 765739584 + 380094016 = 27672^2 + 19496^2 .

It is not an unprimeable number, because it can be changed into a prime (1145833603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 175837 + ... + 182236.

Almost surely, 2^1145833600 is an apocalyptic number.

1145833600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1145833600 is an abundant number, since it is smaller than the sum of its proper divisors (1684741370).

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

1145833600 is an equidigital number, since it uses as much as digits as its factorization.

1145833600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358097 (or 358080 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1145833600 is about 33850.1639582440. The cubic root of 1145833600 is about 1046.4227775469.

The spelling of 1145833600 in words is "one billion, one hundred forty-five million, eight hundred thirty-three thousand, six hundred".