1027870368 has 192 divisors, whose sum is σ = 3265339392. Its totient is φ = 276756480.

The previous prime is 1027870367. The next prime is 1027870381. The reversal of 1027870368 is 8630787201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1027870367) 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, 1127833 + ... + 1128743.

It is an arithmetic number, because the mean of its divisors is an integer number (17006976).

Almost surely, 2^1027870368 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 1027870368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632669696).

1027870368 is an abundant number, since it is smaller than the sum of its proper divisors (2237469024).

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

1027870368 is a wasteful number, since it uses less digits than its factorization.

1027870368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 1027870368 is about 32060.4174645309. The cubic root of 1027870368 is about 1009.2051282830.

The spelling of 1027870368 in words is "one billion, twenty-seven million, eight hundred seventy thousand, three hundred sixty-eight".