1993920 has 112 divisors (see below), whose sum is σ = 6632448. Its totient is φ = 506880.

The previous prime is 1993877. The next prime is 1993921. The reversal of 1993920 is 293991.

It is not an unprimeable number, because it can be changed into a prime (1993921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29727 + ... + 29793.

2^1993920 is an apocalyptic number.

1993920 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 1993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316224).

1993920 is an abundant number, since it is smaller than the sum of its proper divisors (4638528).

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

1993920 is a wasteful number, since it uses less digits than its factorization.

1993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 1993920 is about 1412.0623215708. The cubic root of 1993920 is about 125.8643033965.

It can be divided in two parts, 19 and 93920, that added together give a palindrome (93939).

The spelling of 1993920 in words is "one million, nine hundred ninety-three thousand, nine hundred twenty".