93768 has 16 divisors (see below), whose sum is σ = 234480. Its totient is φ = 31248.

The previous prime is 93763. The next prime is 93787. The reversal of 93768 is 86739.

It is a happy number.

It is a plaindrome in base 13.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (93761) by changing a digit.

93768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1930 + ... + 1977.

It is an arithmetic number, because the mean of its divisors is an integer number (14655).

2⁹³⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

93768 is an abundant number, since it is smaller than the sum of its proper divisors (140712).

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 (117240).

93768 is a wasteful number, since it uses less digits than its factorization.

93768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916 (or 3912 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 93768 is about 306.2156103140. The cubic root of 93768 is about 45.4309220277.

It can be divided in two parts, 93 and 768, that added together give a triangular number (861 = T₄₁).

The spelling of 93768 in words is "ninety-three thousand, seven hundred sixty-eight".