1055829060 has 384 divisors, whose sum is σ = 3925393920. Its totient is φ = 234178560.

The previous prime is 1055829037. The next prime is 1055829067. The reversal of 1055829060 is 609285501.

It is a happy number.

1055829060 is a `hidden beast` number, since 10 + 5 + 582 + 9 + 0 + 60 = 666.

It is a super-2 number, since 2×1055829060² = 2229550007880967200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1055829067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9343564 + ... + 9343676.

It is an arithmetic number, because the mean of its divisors is an integer number (10222380).

Almost surely, 2^1055829060 is an apocalyptic number.

1055829060 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 1055829060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962696960).

1055829060 is an abundant number, since it is smaller than the sum of its proper divisors (2869564860).

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

1055829060 is a wasteful number, since it uses less digits than its factorization.

1055829060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1055829060 is about 32493.5233546625. The cubic root of 1055829060 is about 1018.2737236487.

The spelling of 1055829060 in words is "one billion, fifty-five million, eight hundred twenty-nine thousand, sixty".