993006 has 64 divisors (see below), whose sum is σ = 2626560. Its totient is φ = 272160.

The previous prime is 993001. The next prime is 993011. The reversal of 993006 is 600399.

It is an interprime number because it is at equal distance from previous prime (993001) and next prime (993011).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13951 + ... + 14021.

It is an arithmetic number, because the mean of its divisors is an integer number (41040).

2⁹⁹³⁰⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313280).

993006 is an abundant number, since it is smaller than the sum of its proper divisors (1633554).

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

993006 is a wasteful number, since it uses less digits than its factorization.

993006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

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

The square root of 993006 is about 996.4968640191. The cubic root of 993006 is about 99.7663210334.

The spelling of 993006 in words is "nine hundred ninety-three thousand, six".