93960 has 80 divisors (see below), whose sum is σ = 326700. Its totient is φ = 24192.

The previous prime is 93949. The next prime is 93967. The reversal of 93960 is 6939.

93960 = 19³ + 20³ + ... + 26³.

It can be written as a sum of positive squares in 2 ways, for example, as 93636 + 324 = 306^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (93967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3226 + ... + 3254.

2⁹³⁹⁶⁰ is an apocalyptic number.

93960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163350).

93960 is an abundant number, since it is smaller than the sum of its proper divisors (232740).

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

93960 is a wasteful number, since it uses less digits than its factorization.

93960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 93960 is about 306.5289545867. The cubic root of 93960 is about 45.4619091101.

It can be divided in two parts, 939 and 60, that added together give a palindrome (999).

The spelling of 93960 in words is "ninety-three thousand, nine hundred sixty".