64985760 has 288 divisors, whose sum is σ = 265446720. Its totient is φ = 14805504.

The previous prime is 64985759. The next prime is 64985777. The reversal of 64985760 is 6758946.

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

It is a super-3 number, since 3×64985760³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211527 + ... + 211833.

It is an arithmetic number, because the mean of its divisors is an integer number (921690).

Almost surely, 2^64985760 is an apocalyptic number.

64985760 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 64985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132723360).

64985760 is an abundant number, since it is smaller than the sum of its proper divisors (200460960).

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

64985760 is a wasteful number, since it uses less digits than its factorization.

64985760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 64985760 is about 8061.3745726148. The cubic root of 64985760 is about 402.0432121069.

The spelling of 64985760 in words is "sixty-four million, nine hundred eighty-five thousand, seven hundred sixty".