64160000 has 90 divisors (see below), whose sum is σ = 160434582. Its totient is φ = 25600000.

The previous prime is 64159993. The next prime is 64160021. The reversal of 64160000 is 6146.

It can be written as a sum of positive squares in 5 ways, for example, as 6885376 + 57274624 = 2624^2 + 7568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159800 + ... + 160200.

Almost surely, 2^64160000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80217291).

64160000 is an abundant number, since it is smaller than the sum of its proper divisors (96274582).

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

64160000 is an frugal number, since it uses more digits than its factorization.

64160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 64160000 is about 8009.9937578003. The cubic root of 64160000 is about 400.3330559407. Note that the first 3 decimals are identical.

Adding to 64160000 its reverse (6146), we get a palindrome (64166146).

It can be divided in two parts, 64 and 160000, that multiplied together give a square (10240000 = 3200²).

The spelling of 64160000 in words is "sixty-four million, one hundred sixty thousand".