1027662480 has 120 divisors (see below), whose sum is σ = 3716746488. Its totient is φ = 252960768.

The previous prime is 1027662469. The next prime is 1027662511. The reversal of 1027662480 is 842667201.

1027662480 is a `hidden beast` number, since 1 + 0 + 27 + 6 + 624 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 139145616 + 888516864 = 11796^2 + 29808^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45537 + ... + 64256.

Almost surely, 2^1027662480 is an apocalyptic number.

1027662480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027662480 is an abundant number, since it is smaller than the sum of its proper divisors (2689084008).

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

1027662480 is a wasteful number, since it uses less digits than its factorization.

1027662480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109825 (or 109816 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1027662480 is about 32057.1751718706. The cubic root of 1027662480 is about 1009.1370860512.

The spelling of 1027662480 in words is "one billion, twenty-seven million, six hundred sixty-two thousand, four hundred eighty".