1060546560 has 384 divisors, whose sum is σ = 3773952000. Its totient is φ = 253034496.

The previous prime is 1060546519. The next prime is 1060546603. The reversal of 1060546560 is 656450601.

1060546560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1060546560² = 2249518011855667200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 13424601 + ... + 13424679.

It is an arithmetic number, because the mean of its divisors is an integer number (9828000).

Almost surely, 2^1060546560 is an apocalyptic number.

1060546560 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 1060546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886976000).

1060546560 is an abundant number, since it is smaller than the sum of its proper divisors (2713405440).

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

1060546560 is a wasteful number, since it uses less digits than its factorization.

1060546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1060546560 is about 32566.0338389556. The cubic root of 1060546560 is about 1019.7880374630.

The spelling of 1060546560 in words is "one billion, sixty million, five hundred forty-six thousand, five hundred sixty".