1048088160 has 288 divisors, whose sum is σ = 4240035072. Its totient is φ = 239500800.

The previous prime is 1048088141. The next prime is 1048088161. The reversal of 1048088160 is 618808401.

1048088160 is a `hidden beast` number, since 10 + 480 + 8 + 8 + 160 = 666.

1048088160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1048088160² = 2196977582264371200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048088161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270235 + ... + 274085.

It is an arithmetic number, because the mean of its divisors is an integer number (14722344).

Almost surely, 2^1048088160 is an apocalyptic number.

1048088160 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 1048088160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120017536).

1048088160 is an abundant number, since it is smaller than the sum of its proper divisors (3191946912).

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

1048088160 is an equidigital number, since it uses as much as digits as its factorization.

1048088160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1048088160 is about 32374.1897195899. The cubic root of 1048088160 is about 1015.7790971989.

The spelling of 1048088160 in words is "one billion, forty-eight million, eighty-eight thousand, one hundred sixty".