1064160000 has 270 divisors, whose sum is σ = 3839255420. Its totient is φ = 283392000.

The previous prime is 1064159983. The next prime is 1064160011. The reversal of 1064160000 is 614601.

1064160000 is a `hidden beast` number, since 1 + 0 + 64 + 1 + 600 + 0 + 0 = 666.

It is a super-2 number, since 2×1064160000² = 2264873011200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439631 + ... + 1440369.

Almost surely, 2^1064160000 is an apocalyptic number.

1064160000 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 1064160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919627710).

1064160000 is an abundant number, since it is smaller than the sum of its proper divisors (2775095420).

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

1064160000 is an frugal number, since it uses more digits than its factorization.

1064160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1064160000 is about 32621.4653257636. The cubic root of 1064160000 is about 1020.9449144542.

Adding to 1064160000 its reverse (614601), we get a palindrome (1064774601).

The spelling of 1064160000 in words is "one billion, sixty-four million, one hundred sixty thousand".