993960 has 96 divisors (see below), whose sum is σ = 3538080. Its totient is φ = 240000.

The previous prime is 993943. The next prime is 993961. The reversal of 993960 is 69399.

993960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (993961) by changing a digit.

993960 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 23 ways as a sum of consecutive naturals, for example, 3835 + ... + 4085.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

2⁹⁹³⁹⁶⁰ is an apocalyptic number.

993960 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 993960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769040).

993960 is an abundant number, since it is smaller than the sum of its proper divisors (2544120).

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

993960 is a wasteful number, since it uses less digits than its factorization.

993960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 993960 is about 996.9754259760. The cubic root of 993960 is about 99.7982599499.

It can be divided in two parts, 9939 and 60, that added together give a palindrome (9999).

The spelling of 993960 in words is "nine hundred ninety-three thousand, nine hundred sixty".