64856 has 24 divisors (see below), whose sum is σ = 135660. Its totient is φ = 29040.

The previous prime is 64853. The next prime is 64871. The reversal of 64856 is 65846.

64856 = 56² + 57² + ... + 71².

Its product of digits (5760) is a multiple of the sum of its prime divisors (80).

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 64856.

It is not an unprimeable number, because it can be changed into a prime (64853) 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, 935 + ... + 1001.

2⁶⁴⁸⁵⁶ 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 64856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67830).

64856 is an abundant number, since it is smaller than the sum of its proper divisors (70804).

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

64856 is a wasteful number, since it uses less digits than its factorization.

64856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 80 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 64856 is about 254.6684118614. The cubic root of 64856 is about 40.1775441195.

Subtracting 64856 from its reverse (65846), we obtain a triangular number (990 = T₄₄).

The spelling of 64856 in words is "sixty-four thousand, eight hundred fifty-six".