1027660480 has 224 divisors, whose sum is σ = 3081162240. Its totient is φ = 317153280.

The previous prime is 1027660471. The next prime is 1027660511. The reversal of 1027660480 is 840667201.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 4410444 + ... + 4410676.

Almost surely, 2^1027660480 is an apocalyptic number.

1027660480 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 1027660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540581120).

1027660480 is an abundant number, since it is smaller than the sum of its proper divisors (2053501760).

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

1027660480 is a wasteful number, since it uses less digits than its factorization.

1027660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 1027660480 is about 32057.1439775910. The cubic root of 1027660480 is about 1009.1364314019.

It can be divided in two parts, 10276 and 60480, that added together give a square (70756 = 266²).

The spelling of 1027660480 in words is "one billion, twenty-seven million, six hundred sixty thousand, four hundred eighty".