1080638496 has 144 divisors (see below), whose sum is σ = 3642335424. Its totient is φ = 308738304.

The previous prime is 1080638479. The next prime is 1080638497. The reversal of 1080638496 is 6948360801.

1080638496 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 638 + 4 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1080638497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44506 + ... + 64358.

It is an arithmetic number, because the mean of its divisors is an integer number (25293996).

Almost surely, 2^1080638496 is an apocalyptic number.

1080638496 is a gapful number since it is divisible by the number (16) 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 1080638496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821167712).

1080638496 is an abundant number, since it is smaller than the sum of its proper divisors (2561696928).

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

1080638496 is an equidigital number, since it uses as much as digits as its factorization.

1080638496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19885 (or 19865 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1080638496 is about 32873.0664222247. The cubic root of 1080638496 is about 1026.1877157306.

The spelling of 1080638496 in words is "one billion, eighty million, six hundred thirty-eight thousand, four hundred ninety-six".