19249920 has 144 divisors (see below), whose sum is σ = 68433120. Its totient is φ = 5124096.

The previous prime is 19249913. The next prime is 19249921. The reversal of 19249920 is 2994291.

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 a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (19249921) 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, 34282 + ... + 34838.

It is an arithmetic number, because the mean of its divisors is an integer number (475230).

Almost surely, 2^19249920 is an apocalyptic number.

19249920 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 19249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34216560).

19249920 is an abundant number, since it is smaller than the sum of its proper divisors (49183200).

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

19249920 is an equidigital number, since it uses as much as digits as its factorization.

19249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 19249920 is about 4387.4730768405. The cubic root of 19249920 is about 268.0050492848.

The spelling of 19249920 in words is "nineteen million, two hundred forty-nine thousand, nine hundred twenty".