1026833220 has 288 divisors, whose sum is σ = 3755324160. Its totient is φ = 232243200.

The previous prime is 1026833209. The next prime is 1026833237. The reversal of 1026833220 is 223386201.

1026833220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3995332 + ... + 3995588.

It is an arithmetic number, because the mean of its divisors is an integer number (13039320).

Almost surely, 2^1026833220 is an apocalyptic number.

1026833220 is a gapful number since it is divisible by the number (10) 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 1026833220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877662080).

1026833220 is an abundant number, since it is smaller than the sum of its proper divisors (2728490940).

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

1026833220 is a wasteful number, since it uses less digits than its factorization.

1026833220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 425 counting only the distinct ones).

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

The square root of 1026833220 is about 32044.2384836963. The cubic root of 1026833220 is about 1008.8655759562.

The spelling of 1026833220 in words is "one billion, twenty-six million, eight hundred thirty-three thousand, two hundred twenty".