1024134320 has 120 divisors (see below), whose sum is σ = 2634102240. Its totient is φ = 370022400.

The previous prime is 1024134299. The next prime is 1024134323. The reversal of 1024134320 is 234314201.

It is a super-2 number, since 2×1024134320² = 2097702210803724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1024134292 and 1024134301.

It is not an unprimeable number, because it can be changed into a prime (1024134323) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2332661 + ... + 2333099.

It is an arithmetic number, because the mean of its divisors is an integer number (21950852).

Almost surely, 2^1024134320 is an apocalyptic number.

1024134320 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 1024134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317051120).

1024134320 is an abundant number, since it is smaller than the sum of its proper divisors (1609967920).

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

1024134320 is a wasteful number, since it uses less digits than its factorization.

1024134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1024134320 is about 32002.0986811803. The cubic root of 1024134320 is about 1007.9809089775.

Adding to 1024134320 its reverse (234314201), we get a palindrome (1258448521).

The spelling of 1024134320 in words is "one billion, twenty-four million, one hundred thirty-four thousand, three hundred twenty".