94560 has 48 divisors (see below), whose sum is σ = 299376. Its totient is φ = 25088.

The previous prime is 94559. The next prime is 94561. The reversal of 94560 is 6549.

It is an interprime number because it is at equal distance from previous prime (94559) and next prime (94561).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 94560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94561) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 382 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (6237).

2⁹⁴⁵⁶⁰ 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 94560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149688).

94560 is an abundant number, since it is smaller than the sum of its proper divisors (204816).

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

94560 is a wasteful number, since it uses less digits than its factorization.

94560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 94560 is about 307.5060975005. The cubic root of 94560 is about 45.5584725036.

The spelling of 94560 in words is "ninety-four thousand, five hundred sixty".