1027009530 has 80 divisors (see below), whose sum is σ = 2768325120. Its totient is φ = 273194208.

The previous prime is 1027009523. The next prime is 1027009553. The reversal of 1027009530 is 359007201.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1027009494 and 1027009503.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 386667 + ... + 389313.

It is an arithmetic number, because the mean of its divisors is an integer number (34604064).

Almost surely, 2^1027009530 is an apocalyptic number.

1027009530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027009530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384162560).

1027009530 is an abundant number, since it is smaller than the sum of its proper divisors (1741315590).

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

1027009530 is a wasteful number, since it uses less digits than its factorization.

1027009530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1027009530 is about 32046.9894061829. The cubic root of 1027009530 is about 1008.9233142876.

The spelling of 1027009530 in words is "one billion, twenty-seven million, nine thousand, five hundred thirty".