1993320 has 144 divisors (see below), whose sum is σ = 7602660. Its totient is φ = 451584.

The previous prime is 1993319. The next prime is 1993339. The reversal of 1993320 is 233991.

It can be written as a sum of positive squares in 2 ways, for example, as 1695204 + 298116 = 1302^2 + 546^2 .

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 35 ways as a sum of consecutive naturals, for example, 17584 + ... + 17696.

2^1993320 is an apocalyptic number.

1993320 is a gapful number since it is divisible by the number (10) 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 1993320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801330).

1993320 is an abundant number, since it is smaller than the sum of its proper divisors (5609340).

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

1993320 is a wasteful number, since it uses less digits than its factorization.

1993320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 1993320 is about 1411.8498503736. The cubic root of 1993320 is about 125.8516773202.

It can be divided in two parts, 19 and 93320, that added together give a palindrome (93339).

The spelling of 1993320 in words is "one million, nine hundred ninety-three thousand, three hundred twenty".