1027848960 has 144 divisors (see below), whose sum is σ = 3647558880. Its totient is φ = 274083840.

The previous prime is 1027848959. The next prime is 1027849007. The reversal of 1027848960 is 698487201.

1027848960 is a `hidden beast` number, since 102 + 7 + 8 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19690 + ... + 49430.

It is an arithmetic number, because the mean of its divisors is an integer number (25330270).

Almost surely, 2^1027848960 is an apocalyptic number.

1027848960 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 1027848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823779440).

1027848960 is an abundant number, since it is smaller than the sum of its proper divisors (2619709920).

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

1027848960 is an equidigital number, since it uses as much as digits as its factorization.

1027848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29771 (or 29751 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1027848960 is about 32060.0835931537. The cubic root of 1027848960 is about 1009.1981218180.

The spelling of 1027848960 in words is "one billion, twenty-seven million, eight hundred forty-eight thousand, nine hundred sixty".