1033414668 has 144 divisors (see below), whose sum is σ = 3087931392. Its totient is φ = 287280000.

The previous prime is 1033414637. The next prime is 1033414741. The reversal of 1033414668 is 8664143301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 982743 + ... + 983793.

It is an arithmetic number, because the mean of its divisors is an integer number (21443968).

Almost surely, 2^1033414668 is an apocalyptic number.

1033414668 is a gapful number since it is divisible by the number (18) 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 1033414668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543965696).

1033414668 is an abundant number, since it is smaller than the sum of its proper divisors (2054516724).

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

1033414668 is a wasteful number, since it uses less digits than its factorization.

1033414668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1033414668 is about 32146.7676135564. The cubic root of 1033414668 is about 1011.0164155981.

Adding to 1033414668 its reverse (8664143301), we get a palindrome (9697557969).

The spelling of 1033414668 in words is "one billion, thirty-three million, four hundred fourteen thousand, six hundred sixty-eight".