93456 has 60 divisors (see below), whose sum is σ = 290160. Its totient is φ = 27840.

The previous prime is 93427. The next prime is 93463. The reversal of 93456 is 65439.

It is a happy number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93456.

It is an unprimeable number.

93456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1555 + ... + 1613.

It is an arithmetic number, because the mean of its divisors is an integer number (4836).

2⁹³⁴⁵⁶ 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 93456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145080).

93456 is an abundant number, since it is smaller than the sum of its proper divisors (196704).

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

93456 is a wasteful number, since it uses less digits than its factorization.

93456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 75 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 93456 is about 305.7057408686. The cubic root of 93456 is about 45.3804776758.

It can be divided in two parts, 934 and 56, that added together give a triangular number (990 = T₄₄).

The spelling of 93456 in words is "ninety-three thousand, four hundred fifty-six".