993408 has 64 divisors (see below), whose sum is σ = 2856000. Its totient is φ = 304128.

The previous prime is 993407. The next prime is 993431. The reversal of 993408 is 804399.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (993401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4893 + ... + 5091.

It is an arithmetic number, because the mean of its divisors is an integer number (44625).

2⁹⁹³⁴⁰⁸ 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 993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428000).

993408 is an abundant number, since it is smaller than the sum of its proper divisors (1862592).

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

993408 is a wasteful number, since it uses less digits than its factorization.

993408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 993408 is about 996.6985502147. The cubic root of 993408 is about 99.7797820633.

The spelling of 993408 in words is "nine hundred ninety-three thousand, four hundred eight".