94464 has 54 divisors (see below), whose sum is σ = 279006. Its totient is φ = 30720.

The previous prime is 94463. The next prime is 94477. The reversal of 94464 is 46449.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 36864 = 240^2 + 192^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94463) 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 5 ways as a sum of consecutive naturals, for example, 2284 + ... + 2324.

2⁹⁴⁴⁶⁴ 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 94464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139503).

94464 is an abundant number, since it is smaller than the sum of its proper divisors (184542).

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

94464 is a wasteful number, since it uses less digits than its factorization.

94464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 46 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 94464 is about 307.3499633968. The cubic root of 94464 is about 45.5430498645.

The spelling of 94464 in words is "ninety-four thousand, four hundred sixty-four".