67456 has 32 divisors (see below), whose sum is σ = 146880. Its totient is φ = 30720.

The previous prime is 67453. The next prime is 67477. The reversal of 67456 is 65476.

It is a tau number, because it is divible by the number of its divisors (32).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2161 + ... + 2191.

It is an arithmetic number, because the mean of its divisors is an integer number (4590).

2⁶⁷⁴⁵⁶ 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 67456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440).

67456 is an abundant number, since it is smaller than the sum of its proper divisors (79424).

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

67456 is a wasteful number, since it uses less digits than its factorization.

67456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 50 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 67456 is about 259.7229292920. The cubic root of 67456 is about 40.7074153352.

It can be divided in two parts, 6745 and 6, that multiplied together give a triangular number (40470 = T₂₈₄).

The spelling of 67456 in words is "sixty-seven thousand, four hundred fifty-six".