993690 has 48 divisors (see below), whose sum is σ = 2640456. Its totient is φ = 259200.

The previous prime is 993689. The next prime is 993703. The reversal of 993690 is 96399.

It can be written as a sum of positive squares in 4 ways, for example, as 199809 + 793881 = 447^2 + 891^2 .

It is a super-2 number, since 2×993690² = 1974839632200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5400 + ... + 5580.

2⁹⁹³⁶⁹⁰ is an apocalyptic number.

993690 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 993690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320228).

993690 is an abundant number, since it is smaller than the sum of its proper divisors (1646766).

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

993690 is a wasteful number, since it uses less digits than its factorization.

993690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 252 counting only the distinct ones).

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

The square root of 993690 is about 996.8400072228. The cubic root of 993690 is about 99.7892227081.

The spelling of 993690 in words is "nine hundred ninety-three thousand, six hundred ninety".