1059541560 has 640 divisors, whose sum is σ = 4616663040. Its totient is φ = 211507200.

The previous prime is 1059541547. The next prime is 1059541577. The reversal of 1059541560 is 651459501.

1059541560 is a `hidden beast` number, since 1 + 0 + 5 + 95 + 4 + 1 + 560 = 666.

It is a super-2 number, since 2×1059541560² = 2245256634734467200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7733812 + ... + 7733948.

It is an arithmetic number, because the mean of its divisors is an integer number (7213536).

Almost surely, 2^1059541560 is an apocalyptic number.

1059541560 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 1059541560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308331520).

1059541560 is an abundant number, since it is smaller than the sum of its proper divisors (3557121480).

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

1059541560 is a wasteful number, since it uses less digits than its factorization.

1059541560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 1059541560 is about 32550.5999944701. The cubic root of 1059541560 is about 1019.4658102508.

The spelling of 1059541560 in words is "one billion, fifty-nine million, five hundred forty-one thousand, five hundred sixty".