64868160 has 224 divisors, whose sum is σ = 241401600. Its totient is φ = 14751744.

The previous prime is 64868129. The next prime is 64868173. The reversal of 64868160 is 6186846.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329182 + ... + 329378.

Almost surely, 2^64868160 is an apocalyptic number.

64868160 is a gapful number since it is divisible by the number (60) 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 64868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120700800).

64868160 is an abundant number, since it is smaller than the sum of its proper divisors (176533440).

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

64868160 is a wasteful number, since it uses less digits than its factorization.

64868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 64868160 is about 8054.0772283360. The cubic root of 64868160 is about 401.8005495588.

The spelling of 64868160 in words is "sixty-four million, eight hundred sixty-eight thousand, one hundred sixty".