1993964 has 48 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 779520.

The previous prime is 1993963. The next prime is 1993969. The reversal of 1993964 is 4693991.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1993963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28049 + ... + 28119.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

2^1993964 is an apocalyptic number.

1993964 is a gapful number since it is divisible by the number (14) 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 1993964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280).

1993964 is an abundant number, since it is smaller than the sum of its proper divisors (2360596).

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

1993964 is a wasteful number, since it uses less digits than its factorization.

1993964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 156 counting only the distinct ones).

The product of its digits is 52488, while the sum is 41.

The square root of 1993964 is about 1412.0779015338. The cubic root of 1993964 is about 125.8652292091.

The spelling of 1993964 in words is "one million, nine hundred ninety-three thousand, nine hundred sixty-four".