1059728640 has 288 divisors, whose sum is σ = 3560288256. Its totient is φ = 268369920.

The previous prime is 1059728623. The next prime is 1059728647. The reversal of 1059728640 is 468279501.

It is a super-2 number, since 2×1059728640² = 2246049580872499200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1059728592 and 1059728601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059728647) 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 31 ways as a sum of consecutive naturals, for example, 8344257 + ... + 8344383.

It is an arithmetic number, because the mean of its divisors is an integer number (12362112).

Almost surely, 2^1059728640 is an apocalyptic number.

1059728640 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 1059728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780144128).

1059728640 is an abundant number, since it is smaller than the sum of its proper divisors (2500559616).

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

1059728640 is a wasteful number, since it uses less digits than its factorization.

1059728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1059728640 is about 32553.4735473805. The cubic root of 1059728640 is about 1019.5258080357.

The spelling of 1059728640 in words is "one billion, fifty-nine million, seven hundred twenty-eight thousand, six hundred forty".