1027007264 has 48 divisors (see below), whose sum is σ = 2145641400. Its totient is φ = 482217984.

The previous prime is 1027007243. The next prime is 1027007279. The reversal of 1027007264 is 4627007201.

1027007264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 987216400 + 39790864 = 31420^2 + 6308^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275042 + ... + 278750.

Almost surely, 2^1027007264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027007264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072820700).

1027007264 is an abundant number, since it is smaller than the sum of its proper divisors (1118634136).

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

1027007264 is a wasteful number, since it uses less digits than its factorization.

1027007264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 1027007264 is about 32046.9540518284. The cubic root of 1027007264 is about 1008.9225722555.

The spelling of 1027007264 in words is "one billion, twenty-seven million, seven thousand, two hundred sixty-four".