1055858760 has 512 divisors, whose sum is σ = 4114022400. Its totient is φ = 238464000.

The previous prime is 1055858759. The next prime is 1055858789. The reversal of 1055858760 is 678585501.

1055858760 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 8 + 587 + 60 = 666.

1055858760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1055858760³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17309130 + ... + 17309190.

It is an arithmetic number, because the mean of its divisors is an integer number (8035200).

Almost surely, 2^1055858760 is an apocalyptic number.

1055858760 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 1055858760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057011200).

1055858760 is an abundant number, since it is smaller than the sum of its proper divisors (3058163640).

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

1055858760 is a wasteful number, since it uses less digits than its factorization.

1055858760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The square root of 1055858760 is about 32493.9803656000. The cubic root of 1055858760 is about 1018.2832714209.

The spelling of 1055858760 in words is "one billion, fifty-five million, eight hundred fifty-eight thousand, seven hundred sixty".