1027715364 has 135 divisors (see below), whose sum is σ = 2930603907. Its totient is φ = 313911936.

The previous prime is 1027715321. The next prime is 1027715393. The reversal of 1027715364 is 4635177201.

It is a happy number.

The square root of 1027715364 is 32058.

It is a perfect power (a square), and thus also a powerful number.

1027715364 is a `hidden beast` number, since 10 + 277 + 15 + 364 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91355364 + 936360000 = 9558^2 + 30600^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7501504 + ... + 7501640.

Almost surely, 2^1027715364 is an apocalyptic number.

1027715364 is the 32058-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027715364

1027715364 is an abundant number, since it is smaller than the sum of its proper divisors (1902888543).

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

1027715364 is a wasteful number, since it uses less digits than its factorization.

1027715364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The cubic root of 1027715364 is about 1009.1543959791.

Multiplying 1027715364 by its sum of digits (36), we get a square (36997753104 = 192348²).

1027715364 divided by its sum of digits (36) gives a square (28547649 = 5343²).

The spelling of 1027715364 in words is "one billion, twenty-seven million, seven hundred fifteen thousand, three hundred sixty-four".