1055890800 has 360 divisors, whose sum is σ = 3957782400. Its totient is φ = 259822080.

The previous prime is 1055890747. The next prime is 1055890807. The reversal of 1055890800 is 80985501.

1055890800 is a `hidden beast` number, since 10 + 558 + 90 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1055890800² = 2229810763049280000, 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 not an unprimeable number, because it can be changed into a prime (1055890807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2941021 + ... + 2941379.

It is an arithmetic number, because the mean of its divisors is an integer number (10993840).

Almost surely, 2^1055890800 is an apocalyptic number.

1055890800 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 1055890800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978891200).

1055890800 is an abundant number, since it is smaller than the sum of its proper divisors (2901891600).

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

1055890800 is a wasteful number, since it uses less digits than its factorization.

1055890800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 1055890800 is about 32494.4733762528. The cubic root of 1055890800 is about 1018.2935712411.

The spelling of 1055890800 in words is "one billion, fifty-five million, eight hundred ninety thousand, eight hundred".