1027160064 has 288 divisors, whose sum is σ = 3577392000. Its totient is φ = 277364736.

The previous prime is 1027160047. The next prime is 1027160117. The reversal of 1027160064 is 4600617201.

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

It is a congruent number.

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, 2451247 + ... + 2451665.

It is an arithmetic number, because the mean of its divisors is an integer number (12421500).

Almost surely, 2^1027160064 is an apocalyptic number.

1027160064 is a gapful number since it is divisible by the number (14) 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 1027160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788696000).

1027160064 is an abundant number, since it is smaller than the sum of its proper divisors (2550231936).

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

1027160064 is a wasteful number, since it uses less digits than its factorization.

1027160064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1027160064 is about 32049.3379650813. The cubic root of 1027160064 is about 1008.9726062165.

Adding to 1027160064 its reverse (4600617201), we get a palindrome (5627777265).

The spelling of 1027160064 in words is "one billion, twenty-seven million, one hundred sixty thousand, sixty-four".