1059353640 has 224 divisors, whose sum is σ = 3785671080. Its totient is φ = 265752576.

The previous prime is 1059353629. The next prime is 1059353641. The reversal of 1059353640 is 463539501.

1059353640 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 3 + 5 + 3 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 720278244 + 339075396 = 26838^2 + 18414^2 .

It is a super-2 number, since 2×1059353640² = 2244460269162499200, which contains 22 as substring.

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 = 1059353595 and 1059353604.

It is not an unprimeable number, because it can be changed into a prime (1059353641) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 494652 + ... + 496788.

Almost surely, 2^1059353640 is an apocalyptic number.

1059353640 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 1059353640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892835540).

1059353640 is an abundant number, since it is smaller than the sum of its proper divisors (2726317440).

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

1059353640 is a wasteful number, since it uses less digits than its factorization.

1059353640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1059353640 is about 32547.7132837316. The cubic root of 1059353640 is about 1019.4055359619.

The spelling of 1059353640 in words is "one billion, fifty-nine million, three hundred fifty-three thousand, six hundred forty".