1993440 has 48 divisors (see below), whose sum is σ = 6280848. Its totient is φ = 531456.

The previous prime is 1993417. The next prime is 1993441. The reversal of 1993440 is 443991.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1993398 and 1993407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993441) by changing a digit.

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, 1597 + ... + 2556.

It is an arithmetic number, because the mean of its divisors is an integer number (130851).

2^1993440 is an apocalyptic number.

1993440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1993440 is an abundant number, since it is smaller than the sum of its proper divisors (4287408).

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

1993440 is a wasteful number, since it uses less digits than its factorization.

1993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1993440 is about 1411.8923471710. The cubic root of 1993440 is about 125.8542027382.

The spelling of 1993440 in words is "one million, nine hundred ninety-three thousand, four hundred forty".