19725920 has 96 divisors (see below), whose sum is σ = 49787136. Its totient is φ = 7372800.

The previous prime is 19725913. The next prime is 19725931. The reversal of 19725920 is 2952791.

It is a super-2 number, since 2×19725920² = 778223839692800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203312 + ... + 203408.

It is an arithmetic number, because the mean of its divisors is an integer number (518616).

Almost surely, 2^19725920 is an apocalyptic number.

19725920 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 19725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24893568).

19725920 is an abundant number, since it is smaller than the sum of its proper divisors (30061216).

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

19725920 is a wasteful number, since it uses less digits than its factorization.

19725920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 19725920 is about 4441.3871706934. The cubic root of 19725920 is about 270.1961080986.

The spelling of 19725920 in words is "nineteen million, seven hundred twenty-five thousand, nine hundred twenty".