993664 has 32 divisors (see below), whose sum is σ = 2264400. Its totient is φ = 425472.

The previous prime is 993647. The next prime is 993679. The reversal of 993664 is 466399.

993664 = T₅₅ + T₅₆ + ... + T₁₈₂.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×993664³ = 2943336540989816832, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 342 + ... + 1450.

2⁹⁹³⁶⁶⁴ 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 993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132200).

993664 is an abundant number, since it is smaller than the sum of its proper divisors (1270736).

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

993664 is a wasteful number, since it uses less digits than its factorization.

993664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1118 counting only the distinct ones).

The product of its digits is 34992, while the sum is 37.

The square root of 993664 is about 996.8269659274. The cubic root of 993664 is about 99.7883523688.

It can be divided in two parts, 9936 and 64, that added together give a 4-th power (10000 = 10⁴).

The spelling of 993664 in words is "nine hundred ninety-three thousand, six hundred sixty-four".