1027842768 has 180 divisors, whose sum is σ = 3059408352. Its totient is φ = 322058880.

The previous prime is 1027842757. The next prime is 1027842773. The reversal of 1027842768 is 8672487201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7846063 + ... + 7846193.

Almost surely, 2^1027842768 is an apocalyptic number.

1027842768 is a gapful number since it is divisible by the number (18) 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 1027842768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529704176).

1027842768 is an abundant number, since it is smaller than the sum of its proper divisors (2031565584).

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

1027842768 is a wasteful number, since it uses less digits than its factorization.

1027842768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 1027842768 is about 32059.9870243268. The cubic root of 1027842768 is about 1009.1960952662.

The spelling of 1027842768 in words is "one billion, twenty-seven million, eight hundred forty-two thousand, seven hundred sixty-eight".