1029085344 has 192 divisors, whose sum is σ = 3632428800. Its totient is φ = 276701184.

The previous prime is 1029085333. The next prime is 1029085349. The reversal of 1029085344 is 4435809201.

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 = 1029085299 and 1029085308.

It is not an unprimeable number, because it can be changed into a prime (1029085349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97812 + ... + 107820.

It is an arithmetic number, because the mean of its divisors is an integer number (18918900).

Almost surely, 2^1029085344 is an apocalyptic number.

1029085344 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 1029085344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816214400).

1029085344 is an abundant number, since it is smaller than the sum of its proper divisors (2603343456).

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

1029085344 is a wasteful number, since it uses less digits than its factorization.

1029085344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10052 (or 10038 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1029085344 is about 32079.3600933684. The cubic root of 1029085344 is about 1009.6026094067.

The spelling of 1029085344 in words is "one billion, twenty-nine million, eighty-five thousand, three hundred forty-four".