993096 has 48 divisors (see below), whose sum is σ = 2899260. Its totient is φ = 305280.

The previous prime is 993079. The next prime is 993103. The reversal of 993096 is 690399.

993096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 980100 + 12996 = 990^2 + 114^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 993096.

It is an unprimeable number.

993096 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 11 ways as a sum of consecutive naturals, for example, 406 + ... + 1466.

2⁹⁹³⁰⁹⁶ 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 993096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449630).

993096 is an abundant number, since it is smaller than the sum of its proper divisors (1906164).

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

993096 is a wasteful number, since it uses less digits than its factorization.

993096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1079 counting only the distinct ones).

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

The square root of 993096 is about 996.5420211913. The cubic root of 993096 is about 99.7693350124.

The spelling of 993096 in words is "nine hundred ninety-three thousand, ninety-six".