1005655320 has 96 divisors (see below), whose sum is σ = 3272724000. Its totient is φ = 267818496.

The previous prime is 1005655303. The next prime is 1005655331. The reversal of 1005655320 is 235565001.

1005655320 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 655 + 3 + 2 + 0 = 666.

1005655320 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-2 number, since 2×1005655320² = 2022685245288604800, 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 23 ways as a sum of consecutive naturals, for example, 376309 + ... + 378971.

It is an arithmetic number, because the mean of its divisors is an integer number (34090875).

Almost surely, 2^1005655320 is an apocalyptic number.

1005655320 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 1005655320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636362000).

1005655320 is an abundant number, since it is smaller than the sum of its proper divisors (2267068680).

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

1005655320 is a wasteful number, since it uses less digits than its factorization.

1005655320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1005655320 is about 31712.0689958886. The cubic root of 1005655320 is about 1001.8815641625.

The spelling of 1005655320 in words is "one billion, five million, six hundred fifty-five thousand, three hundred twenty".