64456 has 16 divisors (see below), whose sum is σ = 138240. Its totient is φ = 27600.

The previous prime is 64453. The next prime is 64483. The reversal of 64456 is 65446.

It is a happy number.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 64456.

It is not an unprimeable number, because it can be changed into a prime (64451) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 520 + ... + 631.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2⁶⁴⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

64456 is an abundant number, since it is smaller than the sum of its proper divisors (73784).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120).

64456 is a wasteful number, since it uses less digits than its factorization.

64456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1160 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 64456 is about 253.8818622903. The cubic root of 64456 is about 40.0947752639.

Subtracting 64456 from its reverse (65446), we obtain a triangular number (990 = T₄₄).

The spelling of 64456 in words is "sixty-four thousand, four hundred fifty-six".