1027530840 has 128 divisors (see below), whose sum is σ = 3546731520. Its totient is φ = 233280000.

The previous prime is 1027530839. The next prime is 1027530841. The reversal of 1027530840 is 480357201.

It is an interprime number because it is at equal distance from previous prime (1027530839) and next prime (1027530841).

It is a super-2 number, since 2×1027530840² = 2111639254302211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1027530798 and 1027530807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027530841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122790 + ... + 130890.

It is an arithmetic number, because the mean of its divisors is an integer number (27708840).

Almost surely, 2^1027530840 is an apocalyptic number.

1027530840 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 1027530840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773365760).

1027530840 is an abundant number, since it is smaller than the sum of its proper divisors (2519200680).

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

1027530840 is a wasteful number, since it uses less digits than its factorization.

1027530840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8273 (or 8269 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1027530840 is about 32055.1218996278. The cubic root of 1027530840 is about 1009.0939952241.

The spelling of 1027530840 in words is "one billion, twenty-seven million, five hundred thirty thousand, eight hundred forty".