993696 has 48 divisors (see below), whose sum is σ = 2848608. Its totient is φ = 300800.

The previous prime is 993689. The next prime is 993703. The reversal of 993696 is 696399.

It is an interprime number because it is at equal distance from previous prime (993689) and next prime (993703).

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 586 + ... + 1526.

It is an arithmetic number, because the mean of its divisors is an integer number (59346).

2⁹⁹³⁶⁹⁶ is an apocalyptic number.

993696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424304).

993696 is an abundant number, since it is smaller than the sum of its proper divisors (1854912).

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

993696 is a wasteful number, since it uses less digits than its factorization.

993696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 957 counting only the distinct ones).

The product of its digits is 78732, while the sum is 42.

The square root of 993696 is about 996.8430167283. The cubic root of 993696 is about 99.7894235535.

The spelling of 993696 in words is "nine hundred ninety-three thousand, six hundred ninety-six".