1005427080 has 288 divisors, whose sum is σ = 3943779840. Its totient is φ = 229703040.

The previous prime is 1005427063. The next prime is 1005427081. The reversal of 1005427080 is 807245001.

It is a super-2 number, since 2×1005427080² = 2021767226394652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005427081) 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 71 ways as a sum of consecutive naturals, for example, 475225 + ... + 477335.

It is an arithmetic number, because the mean of its divisors is an integer number (13693680).

Almost surely, 2^1005427080 is an apocalyptic number.

1005427080 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 1005427080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971889920).

1005427080 is an abundant number, since it is smaller than the sum of its proper divisors (2938352760).

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

1005427080 is a wasteful number, since it uses less digits than its factorization.

1005427080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1005427080 is about 31708.4701617722. The cubic root of 1005427080 is about 1001.8057639206.

The spelling of 1005427080 in words is "one billion, five million, four hundred twenty-seven thousand, eighty".