20493440 has 128 divisors (see below), whose sum is σ = 55520640. Its totient is φ = 7168000.

The previous prime is 20493433. The next prime is 20493443. The reversal of 20493440 is 4439402.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (20493443) 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, 288605 + ... + 288675.

It is an arithmetic number, because the mean of its divisors is an integer number (433755).

Almost surely, 2^20493440 is an apocalyptic number.

20493440 is a gapful number since it is divisible by the number (20) 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 20493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320).

20493440 is an abundant number, since it is smaller than the sum of its proper divisors (35027200).

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

20493440 is a wasteful number, since it uses less digits than its factorization.

20493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 20493440 is about 4526.9680802939. The cubic root of 20493440 is about 273.6559875392.

The spelling of 20493440 in words is "twenty million, four hundred ninety-three thousand, four hundred forty".