19948000 has 48 divisors (see below), whose sum is σ = 49022064. Its totient is φ = 7977600.

The previous prime is 19947997. The next prime is 19948009. The reversal of 19948000 is 84991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19948009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1507 + ... + 6493.

It is an arithmetic number, because the mean of its divisors is an integer number (1021293).

Almost surely, 2^19948000 is an apocalyptic number.

19948000 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 19948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24511032).

19948000 is an abundant number, since it is smaller than the sum of its proper divisors (29074064).

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

19948000 is an equidigital number, since it uses as much as digits as its factorization.

19948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 19948000 is about 4466.3183943826. The cubic root of 19948000 is about 271.2063079548.

The spelling of 19948000 in words is "nineteen million, nine hundred forty-eight thousand".