1055306560 has 112 divisors (see below), whose sum is σ = 3133100160. Its totient is φ = 328919040.

The previous prime is 1055306543. The next prime is 1055306611. The reversal of 1055306560 is 656035501.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1055306560² = 2227343871158067200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3226 + ... + 46054.

Almost surely, 2^1055306560 is an apocalyptic number.

1055306560 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 1055306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566550080).

1055306560 is an abundant number, since it is smaller than the sum of its proper divisors (2077793600).

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

1055306560 is a wasteful number, since it uses less digits than its factorization.

1055306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42864 (or 42854 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 1055306560 is about 32485.4822959426. The cubic root of 1055306560 is about 1018.1057242916.

The spelling of 1055306560 in words is "one billion, fifty-five million, three hundred six thousand, five hundred sixty".