64896 has 48 divisors (see below), whose sum is σ = 186660. Its totient is φ = 19968.

The previous prime is 64891. The next prime is 64901. The reversal of 64896 is 69846.

64896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64891) and next prime (64901).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×64896² = 8422981632, which contains 22 as substring.

Its product of digits (10368) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64891) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4986 + ... + 4998.

2⁶⁴⁸⁹⁶ 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 64896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93330).

64896 is an abundant number, since it is smaller than the sum of its proper divisors (121764).

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

64896 is a wasteful number, since it uses less digits than its factorization.

64896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 18 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 64896 is about 254.7469332495. The cubic root of 64896 is about 40.1858022683.

Subtracting 64896 from its reverse (69846), we obtain a triangular number (4950 = T₉₉).

The spelling of 64896 in words is "sixty-four thousand, eight hundred ninety-six".