19953920 has 144 divisors (see below), whose sum is σ = 58278528. Its totient is φ = 6389760.

The previous prime is 19953919. The next prime is 19953953. The reversal of 19953920 is 2935991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152255 + ... + 152385.

It is an arithmetic number, because the mean of its divisors is an integer number (404712).

Almost surely, 2^19953920 is an apocalyptic number.

19953920 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 19953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29139264).

19953920 is an abundant number, since it is smaller than the sum of its proper divisors (38324608).

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

19953920 is a wasteful number, since it uses less digits than its factorization.

19953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 38.

The square root of 19953920 is about 4466.9810834612. The cubic root of 19953920 is about 271.2331340784.

The spelling of 19953920 in words is "nineteen million, nine hundred fifty-three thousand, nine hundred twenty".