993616 has 40 divisors (see below), whose sum is σ = 2202984. Its totient is φ = 430080.

The previous prime is 993611. The next prime is 993617. The reversal of 993616 is 616399.

993616 = T₁₇₉ + T₁₈₀ + ... + T₂₂₆.

It can be written as a sum of positive squares in 4 ways, for example, as 176400 + 817216 = 420^2 + 904^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3396 + ... + 3676.

2⁹⁹³⁶¹⁶ 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 993616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101492).

993616 is an abundant number, since it is smaller than the sum of its proper divisors (1209368).

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

993616 is a wasteful number, since it uses less digits than its factorization.

993616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its digits is 8748, while the sum is 34.

The square root of 993616 is about 996.8028892414. The cubic root of 993616 is about 99.7867455487.

The spelling of 993616 in words is "nine hundred ninety-three thousand, six hundred sixteen".