1026789120 has 648 divisors, whose sum is σ = 4416585264. Its totient is φ = 218824704.

The previous prime is 1026789097. The next prime is 1026789121. The reversal of 1026789120 is 219876201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026789121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9596107 + ... + 9596213.

It is an arithmetic number, because the mean of its divisors is an integer number (6815718).

Almost surely, 2^1026789120 is an apocalyptic number.

1026789120 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 1026789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208292632).

1026789120 is an abundant number, since it is smaller than the sum of its proper divisors (3389796144).

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

1026789120 is a wasteful number, since it uses less digits than its factorization.

1026789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1026789120 is about 32043.5503650891. The cubic root of 1026789120 is about 1008.8511329717.

The spelling of 1026789120 in words is "one billion, twenty-six million, seven hundred eighty-nine thousand, one hundred twenty".