1000233864 has 144 divisors (see below), whose sum is σ = 3163106700. Its totient is φ = 284707584.

The previous prime is 1000233823. The next prime is 1000233869. The reversal of 1000233864 is 4683320001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 994897764 + 5336100 = 31542^2 + 2310^2 .

It is not an unprimeable number, because it can be changed into a prime (1000233869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1795474 + ... + 1796030.

Almost surely, 2^1000233864 is an apocalyptic number.

1000233864 is a gapful number since it is divisible by the number (14) 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 1000233864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581553350).

1000233864 is an abundant number, since it is smaller than the sum of its proper divisors (2162872836).

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

1000233864 is a wasteful number, since it uses less digits than its factorization.

1000233864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1000233864 is about 31626.4741000321. The cubic root of 1000233864 is about 1000.0779485905.

Adding to 1000233864 its reverse (4683320001), we get a palindrome (5683553865).

The spelling of 1000233864 in words is "one billion, two hundred thirty-three thousand, eight hundred sixty-four".