93268 has 12 divisors (see below), whose sum is σ = 186592. Its totient is φ = 39960.

The previous prime is 93263. The next prime is 93281. The reversal of 93268 is 86239.

93268 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 3331 = 93268 / (9 + 3 + 2 + 6 + 8).

It is a d-powerful number, because it can be written as 9⁵ + 3³ + 2⁷ + 6⁴ + 8⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93263) 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, 1638 + ... + 1693.

2⁹³²⁶⁸ is an apocalyptic number.

It is an amenable number.

93268 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (93296).

93268 is a wasteful number, since it uses less digits than its factorization.

93268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3340 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 93268 is about 305.3981008454. The cubic root of 93268 is about 45.3500274925.

It can be divided in two parts, 932 and 68, that added together give a cube (1000 = 10³).

The spelling of 93268 in words is "ninety-three thousand, two hundred sixty-eight".