993642 has 16 divisors (see below), whose sum is σ = 2140320. Its totient is φ = 305712.

The previous prime is 993617. The next prime is 993647. The reversal of 993642 is 246399.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 993642.

It is not an unprimeable number, because it can be changed into a prime (993647) by changing a digit.

993642 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 6292 + ... + 6447.

It is an arithmetic number, because the mean of its divisors is an integer number (133770).

2⁹⁹³⁶⁴² is an apocalyptic number.

993642 is an abundant number, since it is smaller than the sum of its proper divisors (1146678).

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

993642 is a wasteful number, since it uses less digits than its factorization.

993642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12757.

The product of its digits is 11664, while the sum is 33.

The square root of 993642 is about 996.8159308518. The cubic root of 993642 is about 99.7876159160.

It can be divided in two parts, 99 and 3642, that added together give a triangular number (3741 = T₈₆).

The spelling of 993642 in words is "nine hundred ninety-three thousand, six hundred forty-two".