19925280 has 144 divisors (see below), whose sum is σ = 69169464. Its totient is φ = 5222400.

The previous prime is 19925261. The next prime is 19925293. The reversal of 19925280 is 8252991.

It can be written as a sum of positive squares in 4 ways, for example, as 19607184 + 318096 = 4428^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145372 + ... + 145508.

Almost surely, 2^19925280 is an apocalyptic number.

19925280 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 19925280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34584732).

19925280 is an abundant number, since it is smaller than the sum of its proper divisors (49244184).

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

19925280 is a wasteful number, since it uses less digits than its factorization.

19925280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 19925280 is about 4463.7741878370. The cubic root of 19925280 is about 271.1033043429.

The spelling of 19925280 in words is "nineteen million, nine hundred twenty-five thousand, two hundred eighty".