1026829440 has 512 divisors, whose sum is σ = 4482777600. Its totient is φ = 216317952.

The previous prime is 1026829429. The next prime is 1026829481. The reversal of 1026829440 is 449286201.

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

It is a junction number, because it is equal to n+sod(n) for n = 1026829395 and 1026829404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572154 + ... + 1572806.

It is an arithmetic number, because the mean of its divisors is an integer number (8755425).

Almost surely, 2^1026829440 is an apocalyptic number.

1026829440 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 1026829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241388800).

1026829440 is an abundant number, since it is smaller than the sum of its proper divisors (3455948160).

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

1026829440 is a wasteful number, since it uses less digits than its factorization.

1026829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1026829440 is about 32044.1795026804. The cubic root of 1026829440 is about 1008.8643380023.

The spelling of 1026829440 in words is "one billion, twenty-six million, eight hundred twenty-nine thousand, four hundred forty".